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Maths Lectures
India
เข้าร่วมเมื่อ 17 มิ.ย. 2022
Find the lectures about the topics in B.Sc Mathematics
Explanation in Tamil
Mathematical terms in English
Explanation in Tamil
Mathematical terms in English
Clairaut's Equation | #18 | First order and Higher degree | Differential Equations | In Tamil
Differential Equations
First order differential equations of higher degree
Clairaut's Equation
Differential Equations Links
Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I
Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/cO_r1IKh5KE/w-d-xo.htmlsi=KArHDYlSSrjd9__-
Equations solvable for p | #3 | First order and Higher degree | Differential Equations | In Tamil : th-cam.com/video/xRsb6JSD58o/w-d-xo.htmlsi=ZX7glykmxnLglo9k
Equations solvable for p | #4 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/OPb_u5S6JK0/w-d-xo.htmlsi=iq9zxzgrFOEQaK-z
Equations solvable for p | #5 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/wzCxiFbpXPY/w-d-xo.htmlsi=9EDp8iqY42hvPWsH
Equations solvable for p | #6 | First order and Higher degree | Differential Equations | In Tamil : th-cam.com/video/igv1QWt4Jjg/w-d-xo.htmlsi=qSN2zqDWOPzU0Sfj
Equations solvable for p | #7 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/ErxC3KF1JIQ/w-d-xo.htmlsi=t6Z1y1jFPHDCy-lS
Equations solvable for p | #8 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/2yTt8wnU-aY/w-d-xo.htmlsi=-sb27zAD-xzw-71l
Equations solvable for p | #9 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/3yKiONhV32U/w-d-xo.htmlsi=-jc0fObINEgL7VLL
Equations solvable for y | #10 | First order and Higher degree | Differential Equations | In Tamil : th-cam.com/video/oMfMT9p2YOU/w-d-xo.htmlsi=XUNr75IppJQehtBo
Equations solvable for y | #11 | First order and Higher degree | Differential Equations | In Tamil : th-cam.com/video/dE__upO5Seo/w-d-xo.htmlsi=jPsSUDGpz9r4Bupi
Equations solvable for y | #12 | First order and Higher degree | Differential Equations | In Tamil : th-cam.com/video/TfuE-m93yrY/w-d-xo.htmlsi=Js7Dy8vQmWyJ2rb1
Equations solvable for x | #13 | First order and Higher degree | Differential Equations | In Tamil :th-cam.com/video/ECq7TuebTQ0/w-d-xo.htmlsi=QkxvRv4sqCmqzr9m
Equations solvable for x | #14 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/_cVrQm6AZIE/w-d-xo.htmlsi=im_XsVzY38MR30r7
Equations solvable for x | #15 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/K15rXQ9ZXFk/w-d-xo.htmlsi=5CZ5-AtaUkr9tRGm
Equations solvable for x | #16 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/Gduk5bZkNn0/w-d-xo.htmlsi=xXrvIF-rVafqjBpP
Linear differential equations of second order with constant coefficients | #1 | In Tamil: th-cam.com/video/MVK6jcYo0Vo/w-d-xo.htmlsi=m2g15uPesIJukOpg
Particular Integral | Method 1 | #2 Second order differential equations | In Tamil: th-cam.com/video/QDNABPROqjo/w-d-xo.htmlsi=xMRzgMlmTRAGRI6p
Particular Integral | Method 2 | #3 | Second order differential equations | In Tamil: th-cam.com/video/yVzvMW-s3a8/w-d-xo.htmlsi=z488rtwPiLHR-jIL
Particular Integral | Method 2 | #4 Second order differential equations | In Tamil: th-cam.com/video/F2y83uHHcJs/w-d-xo.htmlsi=ic5YZcnYimRPQ0lM
Particular Integral | Method 3 | #5 | Second order differential equations | In Tamil: th-cam.com/video/f9kB-66Qo60/w-d-xo.html
Particular Integral | Method 3 | #6 | Second order differential equations | In Tamil: th-cam.com/video/tK09cMnll6A/w-d-xo.htmlsi=eY2JCleQaJ7yCMP6
Particular Integral | Method 3 | #7 | Second order differential equations | In Tamil: th-cam.com/video/RyVDGCauLK0/w-d-xo.htmlsi=tLqBX14t3o5jh-7-
Particular Integral | #8 | Second order differential equations | In Tamil: th-cam.com/video/q2AKWBzmdKI/w-d-xo.htmlsi=CpjCTMEeIUXhWd76
Particular Integral | #9 | Second order differential equations | In Tamil: th-cam.com/video/p9_4rbglFnQ/w-d-xo.htmlsi=8yxn8VM-5hN2VFHW
Particular Integral | #10 | Second order differential equations | In Tamil: th-cam.com/video/amTgs6F3iD4/w-d-xo.htmlsi=DhKwXmE-vjnJs5Z_
Particular Integral | #11 | Second order differential equations | In Tamil: th-cam.com/video/X6e53DocMTM/w-d-xo.htmlsi=h0OGK5h38aCzRJHs
Particular Integral | #12 | Second order differential equations | In Tamil: th-cam.com/video/NqEnF9h27pY/w-d-xo.htmlsi=oHSt8-cDi0c4AiPp
Particular Integral | #13 | Second order differential equations | In Tamil: th-cam.com/video/BRQ3IEhbiGM/w-d-xo.htmlsi=4unA6JW-4lJGOicM
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First order differential equations of higher degree
Clairaut's Equation
Differential Equations Links
Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I
Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/cO_r1IKh5KE/w-d-xo.htmlsi=KArHDYlSSrjd9__-
Equations solvable for p | #3 | First order and Higher degree | Differential Equations | In Tamil : th-cam.com/video/xRsb6JSD58o/w-d-xo.htmlsi=ZX7glykmxnLglo9k
Equations solvable for p | #4 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/OPb_u5S6JK0/w-d-xo.htmlsi=iq9zxzgrFOEQaK-z
Equations solvable for p | #5 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/wzCxiFbpXPY/w-d-xo.htmlsi=9EDp8iqY42hvPWsH
Equations solvable for p | #6 | First order and Higher degree | Differential Equations | In Tamil : th-cam.com/video/igv1QWt4Jjg/w-d-xo.htmlsi=qSN2zqDWOPzU0Sfj
Equations solvable for p | #7 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/ErxC3KF1JIQ/w-d-xo.htmlsi=t6Z1y1jFPHDCy-lS
Equations solvable for p | #8 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/2yTt8wnU-aY/w-d-xo.htmlsi=-sb27zAD-xzw-71l
Equations solvable for p | #9 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/3yKiONhV32U/w-d-xo.htmlsi=-jc0fObINEgL7VLL
Equations solvable for y | #10 | First order and Higher degree | Differential Equations | In Tamil : th-cam.com/video/oMfMT9p2YOU/w-d-xo.htmlsi=XUNr75IppJQehtBo
Equations solvable for y | #11 | First order and Higher degree | Differential Equations | In Tamil : th-cam.com/video/dE__upO5Seo/w-d-xo.htmlsi=jPsSUDGpz9r4Bupi
Equations solvable for y | #12 | First order and Higher degree | Differential Equations | In Tamil : th-cam.com/video/TfuE-m93yrY/w-d-xo.htmlsi=Js7Dy8vQmWyJ2rb1
Equations solvable for x | #13 | First order and Higher degree | Differential Equations | In Tamil :th-cam.com/video/ECq7TuebTQ0/w-d-xo.htmlsi=QkxvRv4sqCmqzr9m
Equations solvable for x | #14 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/_cVrQm6AZIE/w-d-xo.htmlsi=im_XsVzY38MR30r7
Equations solvable for x | #15 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/K15rXQ9ZXFk/w-d-xo.htmlsi=5CZ5-AtaUkr9tRGm
Equations solvable for x | #16 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/Gduk5bZkNn0/w-d-xo.htmlsi=xXrvIF-rVafqjBpP
Linear differential equations of second order with constant coefficients | #1 | In Tamil: th-cam.com/video/MVK6jcYo0Vo/w-d-xo.htmlsi=m2g15uPesIJukOpg
Particular Integral | Method 1 | #2 Second order differential equations | In Tamil: th-cam.com/video/QDNABPROqjo/w-d-xo.htmlsi=xMRzgMlmTRAGRI6p
Particular Integral | Method 2 | #3 | Second order differential equations | In Tamil: th-cam.com/video/yVzvMW-s3a8/w-d-xo.htmlsi=z488rtwPiLHR-jIL
Particular Integral | Method 2 | #4 Second order differential equations | In Tamil: th-cam.com/video/F2y83uHHcJs/w-d-xo.htmlsi=ic5YZcnYimRPQ0lM
Particular Integral | Method 3 | #5 | Second order differential equations | In Tamil: th-cam.com/video/f9kB-66Qo60/w-d-xo.html
Particular Integral | Method 3 | #6 | Second order differential equations | In Tamil: th-cam.com/video/tK09cMnll6A/w-d-xo.htmlsi=eY2JCleQaJ7yCMP6
Particular Integral | Method 3 | #7 | Second order differential equations | In Tamil: th-cam.com/video/RyVDGCauLK0/w-d-xo.htmlsi=tLqBX14t3o5jh-7-
Particular Integral | #8 | Second order differential equations | In Tamil: th-cam.com/video/q2AKWBzmdKI/w-d-xo.htmlsi=CpjCTMEeIUXhWd76
Particular Integral | #9 | Second order differential equations | In Tamil: th-cam.com/video/p9_4rbglFnQ/w-d-xo.htmlsi=8yxn8VM-5hN2VFHW
Particular Integral | #10 | Second order differential equations | In Tamil: th-cam.com/video/amTgs6F3iD4/w-d-xo.htmlsi=DhKwXmE-vjnJs5Z_
Particular Integral | #11 | Second order differential equations | In Tamil: th-cam.com/video/X6e53DocMTM/w-d-xo.htmlsi=h0OGK5h38aCzRJHs
Particular Integral | #12 | Second order differential equations | In Tamil: th-cam.com/video/NqEnF9h27pY/w-d-xo.htmlsi=oHSt8-cDi0c4AiPp
Particular Integral | #13 | Second order differential equations | In Tamil: th-cam.com/video/BRQ3IEhbiGM/w-d-xo.htmlsi=4unA6JW-4lJGOicM
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มุมมอง: 1 217
วีดีโอ
Clairaut's Equation | #17 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 2.1Kปีที่แล้ว
Differential Equations First order differential equations of higher degree Clairaut's Equation Differential Equations Links Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/cO_r1IKh5KE/w-d-xo....
Equations solvable for x | #16 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 687ปีที่แล้ว
Differential Equations First order differential equations of higher degree Solvable for x Differential Equations Links Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/cO_r1IKh5KE/w-d-xo.htmls...
Equations solvable for x | #15 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 597ปีที่แล้ว
Differential Equations First order differential equations of higher degree Solvable for x Differential Equations Links Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/cO_r1IKh5KE/w-d-xo.htmls...
Equations solvable for x | #14 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 768ปีที่แล้ว
Differential Equations First order differential equations of higher degree Solvable for x Differential Equations Links Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/cO_r1IKh5KE/w-d-xo.htmls...
Equations solvable for x | #13 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 1.4Kปีที่แล้ว
Differential Equations First order differential equations of higher degree Solvable for x Differential Equations Links Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/cO_r1IKh5KE/w-d-xo.htmls...
Equations solvable for y | #12 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 907ปีที่แล้ว
Differential Equations First order differential equations of higher degree Solvable for y Differential Equations Links Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/cO_r1IKh5KE/w-d-xo.htmls...
Equations solvable for y | #11 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 1.2Kปีที่แล้ว
Differential Equations First order differential equations of higher degree Solvable for p Differential Equations Links Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/cO_r1IKh5KE/w-d-xo.htmls...
Equations solvable for y | #10 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 2Kปีที่แล้ว
Differential Equations First order differential equations of higher degree Solvable for y Differential Equations Links Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/cO_r1IKh5KE/w-d-xo.htmls...
Equations solvable for p | #9 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 732ปีที่แล้ว
Differential Equations First order differential equations of higher degree Solvable for p Differential Equations Links Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/cO_r1IKh5KE/w-d-xo.htmls...
Equations solvable for p | #8 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 687ปีที่แล้ว
Differential Equations First order differential equations of higher degree Solvable for p Differential Equations Links Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/cO_r1IKh5KE/w-d-xo.htmls...
Equations solvable for p | #7 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 942ปีที่แล้ว
Differential Equations First order differential equations of higher degree Solvable for p Differential Equations Links Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/cO_r1IKh5KE/w-d-xo.htmls...
Equations solvable for p | #6 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 952ปีที่แล้ว
Differential Equations First order differential equations of higher degree Solvable for p Differential Equations Links Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/cO_r1IKh5KE/w-d-xo.htmls...
Equations solvable for p | #5 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 974ปีที่แล้ว
Differential Equations First order differential equations of higher degree Solvable for p Differential Equations Links Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I Linear differential equations of second order with constant coefficients | #1 | In Tamil: th-cam.com/video/MVK6jcYo0Vo/w-d-xo.html...
Equations solvable for p | #4 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 987ปีที่แล้ว
Differential Equations First order differential equations of higher degree Solvable for p Differential Equations Links Solvable for p |#1 | First order and Higher degree | Differential Equations | In Tamil: th-cam.com/video/qyqatdU4inM/w-d-xo.htmlsi=Ig2JuP4MYgiVH_2I Linear differential equations of second order with constant coefficients | #1 | In Tamil: th-cam.com/video/MVK6jcYo0Vo/w-d-xo.html...
Equations solvable for p | #3 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 1.3Kปีที่แล้ว
Equations solvable for p | #3 | First order and Higher degree | Differential Equations | In Tamil
Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 1.9Kปีที่แล้ว
Solvable for p | #2 | First order and Higher degree | Differential Equations | In Tamil
Equations solvable for p | #1 | First order and Higher degree | Differential Equations | In Tamil
มุมมอง 6Kปีที่แล้ว
Equations solvable for p | #1 | First order and Higher degree | Differential Equations | In Tamil
Particular Integral | #25 | Method 4 | Second order differential equations | In Tamil
มุมมอง 393ปีที่แล้ว
Particular Integral | #25 | Method 4 | Second order differential equations | In Tamil
Particular Integral | #24 | Method 4 | Second order differential equations | In Tamil
มุมมอง 346ปีที่แล้ว
Particular Integral | #24 | Method 4 | Second order differential equations | In Tamil
Particular Integral | #23 | Method 4 | Second order differential equations | In Tamil
มุมมอง 234ปีที่แล้ว
Particular Integral | #23 | Method 4 | Second order differential equations | In Tamil
Particular Integral | #22 | Method 4 | Second order differential equations | In Tamil
มุมมอง 246ปีที่แล้ว
Particular Integral | #22 | Method 4 | Second order differential equations | In Tamil
Particular Integral | #21 | Method 4 | Second order differential equations | In Tamil
มุมมอง 277ปีที่แล้ว
Particular Integral | #21 | Method 4 | Second order differential equations | In Tamil
Particular Integral | #20 | Method 4 | Second order differential equations | In Tamil
มุมมอง 227ปีที่แล้ว
Particular Integral | #20 | Method 4 | Second order differential equations | In Tamil
Particular Integral | #19 | Method 4 | Second order differential equations | In Tamil
มุมมอง 277ปีที่แล้ว
Particular Integral | #19 | Method 4 | Second order differential equations | In Tamil
Particular Integral | #18 | Method 4 | Second order differential equations | In Tamil
มุมมอง 260ปีที่แล้ว
Particular Integral | #18 | Method 4 | Second order differential equations | In Tamil
Particular Integral | #17 | Method 4 | Second order differential equations | In Tamil
มุมมอง 241ปีที่แล้ว
Particular Integral | #17 | Method 4 | Second order differential equations | In Tamil
Particular Integral | #16 | Method 4 | Second order differential equations | In Tamil
มุมมอง 248ปีที่แล้ว
Particular Integral | #16 | Method 4 | Second order differential equations | In Tamil
Particular Integral | #15 | Method 4 | Second order differential equations | In Tamil
มุมมอง 335ปีที่แล้ว
Particular Integral | #15 | Method 4 | Second order differential equations | In Tamil
Particular Integral | #14 | Method 4 | Second order differential equations | In Tamil
มุมมอง 549ปีที่แล้ว
Particular Integral | #14 | Method 4 | Second order differential equations | In Tamil
Tq super 😊
nandri amma
Super teacher
Thankyou so much ma'am
(1,-1)&(-1,1) varatha mam
1-x^2 akka
Me:- 😢 what she is telling 😅
🙏
mam unga last step ans thappa irruku ans: y²=cx+c³/8
I got cleared my doubts in yours videos thanks a lot🙏
mam, how are you diff z^2 ?? there are no x terms
14:01 purila mam
❤
100 like me😂
8:00 I can't understand 5^2 how
Thank you so much ma'am , actually I didn't understand ur language but ur steps clarified my doubts.thanks a lot!!🙏
Ma'am aap hindi me bol sakte ho? ☹️
Cotx problem
🎉🎉🎉🎉🎉
Mam please teach slowly it helps for taking notes 😊
👍
Great 🎉🎉
So very thank ❤
Very very thank you madam very helpful for my semester exam madam thank you thank you thank you thank you thank you thank you thank you madam all video is help for my classmate also mam
vary very tank you mam ❤
why multiply by x
Mam, you make the lessons way too easier, Thankyouu soo much <3
Mam which book you are using
Tq mam
Thank so much 🙏 Superb explanation
tq mam
Thanks ma'am😊
Mam tamil nahi aati but super help ful video
Thankyou mam 😊
I'm from Up.but i understood very well thanks 🙏🙏 mam ..
Please in English
Kis kis na puri video samjhi only written explanation sa
Couldn't understand last 2 lines yn o even/odd part. Can u explain?
If y = ea sinx, prove that (1-x²) yn + 2 - (2n+1)xyn +1 - (n² + a²) yn=0. Deduce that lim Уп +2 + 2 = n² + a². Hence find yn (0). x→0 Уп
Thank you mam
Thank you Mam ❤❤❤
I didn't understand your language but i understand you every single concept ❤❤
Thanks
Thanks mam✨
Mam maths video podunga mam please
Really helpful 👏
Thanks mam
Thank you maam❤❤
Was finding a perfect teacher to explain this q and finally I founded you
Best solution thanks loat
Y=cosx cos2x cos3x and intha sum poduga mam pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls