Series Solution of Differential Equation | Ordinary Point and Singular Point

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  • เผยแพร่เมื่อ 20 ธ.ค. 2024

ความคิดเห็น • 419

  • @gajendrapurohit
    @gajendrapurohit  5 ปีที่แล้ว +51

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    • @pargatsingh37
      @pargatsingh37 4 ปีที่แล้ว

      This formula is not applicable everywhere!!

    • @polaroid2
      @polaroid2 4 ปีที่แล้ว

      I saw a differential equation where the coefficient of y'' is (1+x^2) now how can we classify its singularity..

    • @Anish-Pandey_031
      @Anish-Pandey_031 3 ปีที่แล้ว

      Sir Mai apse whatsapp par bat karana chahata hu

    • @fundaofmaths3938
      @fundaofmaths3938 2 ปีที่แล้ว +1

      Sir, I think the definition you give here is not right. First of all you should make the 2nd order differential equation in standard form... I.e, y"+p(x) y'+q(x) y=0

  • @psstudycentre5568
    @psstudycentre5568 2 วันที่ผ่านมา +1

    You teach a main point in every title without wasting a second. You are an awesome teacher GP sir😊

  • @iamajayadav
    @iamajayadav 4 ปีที่แล้ว +121

    Sir you are an amazing teacher. i am a physics student but your lectures help me a lot in mathematical Physics.

    • @pinkisuthar6421
      @pinkisuthar6421 3 ปีที่แล้ว +2

      Same here bro

    • @devsheoran18
      @devsheoran18 3 ปีที่แล้ว +4

      Same here but I dbout I am a phy Hons student 😂🥺

    • @pinkisuthar6421
      @pinkisuthar6421 3 ปีที่แล้ว +3

      @@devsheoran18 I'm also

    • @rajeshvermag
      @rajeshvermag 3 ปีที่แล้ว +1

      Same 👏

    • @rajeshvermag
      @rajeshvermag 3 ปีที่แล้ว

      @@pinkisuthar6421 I'm also 😄

  • @infinity2449
    @infinity2449 ปีที่แล้ว +1

    Sir bahut sandar padhate h , ye v dhayan dene wali baat h🙂

  • @saniruddhaan
    @saniruddhaan 4 ปีที่แล้ว +12

    Good lecture, very precisely explained.....thank you Dr. Purohit for taking this initiative of explaining complicated topics like this particular one. It will be nice if you add one or two physical circumstances where these equations are seen. This can help us to understand the topic in the best possible way. @Dr.Gajendra Purohit

  • @shubhamtripathi8071
    @shubhamtripathi8071 3 ปีที่แล้ว +13

    I can not express my feelings for you
    Sir it's very helpful
    Thanks a lot for this type of content 😍❤️❤️

  • @ahirjatinyadav7214
    @ahirjatinyadav7214 5 ปีที่แล้ว +11

    thank you this comes just before my exam
    your teching is amazing
    i enjoy learning

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +3

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  • @mdsazidansari2395
    @mdsazidansari2395 5 ปีที่แล้ว +16

    Sir please upload next part of this lecture.. As soon as possible.. Thank you for uploading such great lectures
    Your teaching method is so perfect.

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +10

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  • @mansithakur8850
    @mansithakur8850 4 ปีที่แล้ว +1

    Apki lectures se mujhe bahut help mili hai

  • @prasadpatel6508
    @prasadpatel6508 5 ปีที่แล้ว +15

    Thank you sir , it helped me a lot

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    @hansbhai7453 4 ปีที่แล้ว +14

    sir me to bs vese hi dekh rha hu jese ramayan mahabhart dekhte h or mja kete h isme to usse bhi jyada mja aa rha h mere ko.😀😀😀

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    @sakshisoni8800 5 ปีที่แล้ว +3

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    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

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    @somabhanja5484 3 ปีที่แล้ว +2

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    @piyushsaxena6243 4 ปีที่แล้ว +4

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    @AbhishekYadav-qg1sy 3 ปีที่แล้ว +1

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  • @perfectknowledge2.094
    @perfectknowledge2.094 3 ปีที่แล้ว +1

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  • @abhijeetkumar9521
    @abhijeetkumar9521 4 ปีที่แล้ว

    Sir aapka videos dekh k concept crystal clear ho jata hai ...thanks a lot sir ♥️♥️

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    @subha7421 2 ปีที่แล้ว +1

    As a BSC Physics students it's really help me in mathematical physics.........🙏🙏🙏

  • @gauravkhanal1135
    @gauravkhanal1135 3 ปีที่แล้ว +6

    Tnak you sir
    but in 2nd qns when it was x=0 it could be further simplified to avoid the infinite value

    • @dhanurgarg9988
      @dhanurgarg9988 2 ปีที่แล้ว

      exactly

    • @smrtghosh5072
      @smrtghosh5072 6 หลายเดือนก่อน

      We can use L höpital's rule only when the form is 0/0 or something like that but in this case it's not any form of that

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    @ssg-sir 3 ปีที่แล้ว +1

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    @surbhisharma1976 4 ปีที่แล้ว +2

    Sir your way of explanation is very good.. thanks for the same..
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    @subodhtripathi9718 3 ปีที่แล้ว +2

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  • @altafali-nx3cc
    @altafali-nx3cc 5 ปีที่แล้ว +3

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    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +1

      Thanks for
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      Dr.Gajendra Purohit

  • @radhikanegi28
    @radhikanegi28 4 ปีที่แล้ว

    Tqq so much sir. Bahut ache se smjhaya apne🙏🙏

  • @sscMEA-zv7of
    @sscMEA-zv7of 5 ปีที่แล้ว +3

    Nice sir ji aapke lecture se mere me bahut increasement ho gya thank you you so much sir ji

  • @jyotivishwakarma6929
    @jyotivishwakarma6929 5 ปีที่แล้ว +3

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    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Hello Jyoti Vishwakarma
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      Thanks
      Dr.Gajendra Purohit

    • @garrysingh385
      @garrysingh385 4 ปีที่แล้ว

      @@gajendrapurohit sir g ordinary point can infinite please clear that

  • @shipraarora5559
    @shipraarora5559 5 ปีที่แล้ว +1

    Thanks sir u r good teacher

  • @mansithakur8850
    @mansithakur8850 4 ปีที่แล้ว +1

    Thanks sir it is very helpful for me in exam time

  • @kartiken4833
    @kartiken4833 5 ปีที่แล้ว +1

    Everyone lecture is good lecturer sir..

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Thanks for Subscribing!, your appreciation always motivate us to do such kind work.
      Please Share it With Your Friends
      Want to get notes and link of videos with latest update then Connect me on Telegram Link:- t.me/gajendrapurohit
      Keep Watching OUR latest video.
      Topic:- Differential Calculus For B.Sc. and Engineering Students
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      Topic:-Fourier Series
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      Topic:- Higher Order Differential Equation
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      Please share it with your Friends
      Thanks
      Dr.Gajendra Purohit

  • @avinashjaiswal628
    @avinashjaiswal628 3 ปีที่แล้ว

    Sir you are the best teacher in tha world🇮🇳🇮🇳

  • @kudiresrikar9477
    @kudiresrikar9477 4 ปีที่แล้ว +3

    Sir ur videos helped me alot in this lockdown period
    But I request u to make a album or set of videos so that we could search and see them easily
    Thanking you .

  • @sksamrat4805
    @sksamrat4805 6 หลายเดือนก่อน +1

    Very nice quality ❤

  • @monikasingh1018
    @monikasingh1018 5 ปีที่แล้ว

    Bahut bahut sukriya all lectures

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Hello Monika Singh
      Thanks for Subscribing!, your appreciation always motivate us to do such kind work.
      Preparing CSIR NET ? Then Follow me on Unacademy Link:-unacademy.com/user/Dr-GajendraPurohit
      Please Share it With Your Friends
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      Thanks
      Dr.Gajendra Purohit

  • @500tamminenikalpana8
    @500tamminenikalpana8 2 ปีที่แล้ว

    Thank you sir due to online classes we don't understand our classes your classes are very useful to me

  • @uvchouhan4353
    @uvchouhan4353 2 ปีที่แล้ว

    Wonderful explanation sir.👌🏻👌🏻.. Thank you very much ..

  • @PragyaRawat-wl6dh
    @PragyaRawat-wl6dh 3 ปีที่แล้ว

    Sir your videos helping me a lot in MSC 1 sem exam. I really like your teaching method. Thank you so much sir. 🙏🙏🙏

  • @Devil-Jin-yt
    @Devil-Jin-yt 4 ปีที่แล้ว

    You must add the literature definition for regular and irregular singular point.
    As learning formula only doesn't solidify the concept. Thanks for the vedio

  • @pradipmaji4723
    @pradipmaji4723 2 ปีที่แล้ว +1

    Thank you so so much for this video 🙏🙏🙏

  • @aditi7204
    @aditi7204 3 ปีที่แล้ว +1

    Very helpful video sir☺️

  • @factofknowledge2958
    @factofknowledge2958 3 ปีที่แล้ว

    Very much sir
    Very easy concept to easily learn
    🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥

  • @srijanisallyouneed
    @srijanisallyouneed 4 ปีที่แล้ว +1

    Great job Sir......Hats off to ur hardwork and simple teaching.......
    Love from Kolkata:D

  • @ajinkyababar189
    @ajinkyababar189 4 ปีที่แล้ว

    Thanks it cleared my all the doubts

  • @mjparmar4550
    @mjparmar4550 3 ปีที่แล้ว +1

    Thank you sir,
    Your teaching level is too high.
    once again thank you

    • @MathBabu
      @MathBabu 3 ปีที่แล้ว

      Happy diwali friend ❤️

  • @aishasaddiqa8345
    @aishasaddiqa8345 2 ปีที่แล้ว

    U taught very well.. it helped me in preparing my assignment last night before submission

  • @vijaytandi5406
    @vijaytandi5406 5 ปีที่แล้ว +1

    Thank u sir great teaching style

  • @anjukhurana6383
    @anjukhurana6383 ปีที่แล้ว

    Superb sir🎉🎉 mind blowing❤❤

  • @sudharathore5279
    @sudharathore5279 2 ปีที่แล้ว

    We fall in love 💞 with maths because the way of your teaching ❣️ thank you very much sir

  • @repairingmaster6568
    @repairingmaster6568 ปีที่แล้ว +1

    sir agar left side is not equal zero ho. to tabb B power series see Equation solve hoo skti hee???? in Differential Equations
    for example.
    (x^2-1) Y” + 6xy’ + 4y = -4
    ye question power series se solve hoo skta he?? in Differential Equations

  • @shikhasharma7418
    @shikhasharma7418 4 ปีที่แล้ว

    Thanks sir aap ham Sab student itana help karana ke liy

  • @chahilbansal9326
    @chahilbansal9326 4 ปีที่แล้ว +3

    Sir u teaches so well but u haven't uploaded the videos of dynamics and sequence for bsc 4 sem.. There are only videos of series but not of sequences pls upload my exams are nearby

  • @shubhamdalal5960
    @shubhamdalal5960 5 ปีที่แล้ว +2

    My syllabus comprises of-
    Bessel's function of 1st and 2nd kind,orthogonal prop. Of bessel,legendre functions of its kind,simple recurrence relations,orthogonal prop.,generating function.
    So in order to get these topics covered which video lecture of urs should i watch?which will also cover a good basic for the topics mentioned above.
    Please do reply sir.

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Hello shubham dalal
      Thanks for Subscribing!, your appreciation always motivate us to do such kind work.
      Please Share it With Your Friends
      Want to get notes and link of videos with latest update then Connect me on Telegram Link:- t.me/gajendrapurohit
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      Topic:- Differential Calculus For B.Sc. and Engineering Students
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      Topic:- Higher Order Differential Equation
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      Thanks
      Dr.Gajendra Purohit

  • @khushalsharma7370
    @khushalsharma7370 5 ปีที่แล้ว +14

    1000 waa like mera .....

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +3

      Hello Khushal Sharma
      Thanks for Subscribing!, your appreciation always motivate us to do such kind work.
      Preparing CSIR NET ? Then Follow me on Unacademy Link:-unacademy.com/user/Dr-GajendraPurohit
      Please Share it With Your Friends
      Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK
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      Dr.Gajendra Purohit

  • @abhaykumarsingh2522
    @abhaykumarsingh2522 3 ปีที่แล้ว +1

    mujhe lagta hai regular and irregular singular point check karne ke liye kuchh correction ki jarurat hai. lim 'x' tends to 'a' ke liye (x-a)Q(x)/P(x) hona chahiye.

  • @durgeshawana6151
    @durgeshawana6151 2 ปีที่แล้ว

    thank you sir all concept clear krne ke liye

  • @afridasultana3837
    @afridasultana3837 2 ปีที่แล้ว

    Thank you sir. Concept clear ho gaya

  • @satyendrasinghyadavsatpura9108
    @satyendrasinghyadavsatpura9108 5 ปีที่แล้ว +1

    Please continue sir your video is very useful for me

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Thanks for
      your comment, your appreciation always motivate us to do such kind work.
      Please Share it
      With Your Friends
      Want to get notes
      and link of videos with latest update then Connect me on Telegram Link:-
      t.me/gajendrapurohit
      Keep Watching OUR
      latest video.
      Topic:- Class 12 Maths NCERT - Continuity
      Important Questions Board Exam 2019
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      Topic:- Higher Order Differential Equation
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      Topic:- Partial Differential Equation
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      Topic:-Surface area and Volume of Revolution of curve
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      Dr.Gajendra Purohit

  • @hemapradhan2783
    @hemapradhan2783 5 ปีที่แล้ว +6

    Sir thank you! Will you please upload for Frobenius method of solving 2nd order differential equations.

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +1

      Thanks for
      your comment, your appreciation always motivate us to do such kind work.
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  • @cocytus.o_o
    @cocytus.o_o 5 ปีที่แล้ว +3

    (1-x)y'' + (1/x)y' + (x+3)y = 0
    The definition of singular point says in y'' + p(x) y' + q(x) = 0
    If p(x) or q(x) has pole at any x1 then x1 is singular point. In the equation that i mentioned is 0 a singular point? By your method ie equating coefficient of highest order to 0 it is not.

  • @world_conquerer
    @world_conquerer 4 ปีที่แล้ว +2

    12:30 it will be not infinite but -1

  • @satyamverma7845
    @satyamverma7845 5 ปีที่แล้ว +3

    Thankyou so much Sir💮

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Hello Satyam verma
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  • @tarikachoudhary1435
    @tarikachoudhary1435 4 ปีที่แล้ว

    It's totally understandable sir good job sir

  • @pinkibegum3558
    @pinkibegum3558 2 ปีที่แล้ว

    Sir, last wale problem main 0 is a singular point hota hain. Wahape numerator main x^2 commmon ata hain and denominator main x common ata hain phir limit ka value 1 ho jata hain. Which is finite

  • @chandreshkumar5049
    @chandreshkumar5049 5 ปีที่แล้ว

    Sir apka video bahut acha hai, sir apse request hai ki eigenvector prapt karne ke liye ak aur video bana dijiye jab eigenvalues same ho, thankful

  • @estiakahmed8726
    @estiakahmed8726 3 ปีที่แล้ว +1

    Awesome Lecture, Sir. Thanks a lot.

  • @arshadmathematics5714
    @arshadmathematics5714 3 ปีที่แล้ว

    Sir apko first time dekha..ur teaching is impressive..
    A request TGT maths teach kijiye sir please.

  • @maina1176
    @maina1176 5 ปีที่แล้ว +1

    Thank You so much Sir
    You are great Sir Ji

  • @mahavirparsad3374
    @mahavirparsad3374 5 ปีที่แล้ว +1

    Thank u sir for this topic

  • @divyagawali9915
    @divyagawali9915 ปีที่แล้ว

    Thank you sir for simple explanation

  • @saileshmishra1026
    @saileshmishra1026 5 ปีที่แล้ว +2

    Sir... I m a 2nd yr maths Hons student...
    I want to start a preparation for IIT JAM...
    So can u please suggest me certain methods to start the preparation...

  • @onkarshukla7964
    @onkarshukla7964 4 ปีที่แล้ว

    Thanks a lot of sir aap to diamond ho sir mathematics Kai

  • @varundhavan9836
    @varundhavan9836 4 ปีที่แล้ว

    Sir in second problem at x=0 LHL = infinity and RHL = - infinity , therefore limit doesnt exist in extended real numbers also.... anyway it’s not finite so doesn’t alter the answer..
    But your explanation is too good sir .. thank you

  • @coder_chandan
    @coder_chandan 3 ปีที่แล้ว

    Thank you thank you thank you very very very very very very very very very very very very very very very very very very very very very very very very much sir .

  • @Iluminati_Edits
    @Iluminati_Edits 3 ปีที่แล้ว

    Sir the regular point 2nd example the answer u got was infinite and 2 ... There in place of infinite u can get value as 1 by taking x common there it will be regular single point

  • @WahidBakhshSumalani
    @WahidBakhshSumalani 4 ปีที่แล้ว

    Lucid illustration of mathematical terminology with grt methodology

  • @mbt2222
    @mbt2222 3 ปีที่แล้ว

    Sir ap bhoot acha phraty hay

  • @nonstoplove454
    @nonstoplove454 4 ปีที่แล้ว

    Thank you sir. Explain is too good.

  • @siddharth7541
    @siddharth7541 2 ปีที่แล้ว +1

    sir please make a video on Bessel equations and its solution series solution of differential equations

  • @naturalseeds7090
    @naturalseeds7090 2 ปีที่แล้ว

    Thank you so much for cracking our doubts sir

  • @harsimrankaur7809
    @harsimrankaur7809 4 ปีที่แล้ว

    Bhut acha samjhaya sir

  • @faridachoudhury8262
    @faridachoudhury8262 2 ปีที่แล้ว

    Thanks for wonderful lecture ❤️💜

  • @jatinmahor1813
    @jatinmahor1813 4 ปีที่แล้ว

    Thanks a lot Sir your this Video helped me a lot .
    I had doubt in this topic but after watching this video my doubt has cleared.
    🙏🙏🙏

  • @sitalakra939
    @sitalakra939 3 ปีที่แล้ว

    Doubt clear ho gya thank you sir

  • @rajanjethwa374
    @rajanjethwa374 5 ปีที่แล้ว +2

    Sir,
    As per reference book,when we find y', limits of summation will change 1 to infinity.
    And while finding y'' it's limits will be 2 to infinity.
    But you took 0 to infinity in all y ,y' and y''
    Plz suggest right answer

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Hello Rajan Jethwa Thanks for Subscribing!
      Preparing CSIR NET ? Then Follow me on Unacademy Link:-unacademy.com/user/Dr-GajendraPurohit
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  • @Thesanskarihumour
    @Thesanskarihumour 2 ปีที่แล้ว

    Thank uh sir.... Uh are a life saviour 🥂❤

  • @Newthings-p2u
    @Newthings-p2u 2 ปีที่แล้ว

    You are amazing sir .It would have been better if you had asked a little more difficult question.

  • @govindarawat4456
    @govindarawat4456 5 ปีที่แล้ว +1

    Super consept sir ji thanks sir ji

  • @jyothiswaroopsantu
    @jyothiswaroopsantu 5 ปีที่แล้ว +1

    very well taught with really good clarity in concept

  • @yasminhafeez6389
    @yasminhafeez6389 2 ปีที่แล้ว

    hi sir, ur really great, its so easy to understand, thank u so much sir,

  • @Joydebkumar
    @Joydebkumar 3 ปีที่แล้ว

    Number 1 video sir 🙏

  • @hizbullahkhan472
    @hizbullahkhan472 3 ปีที่แล้ว

    Thanks sir g, Allah may give you long life

  • @sanskarsuman4438
    @sanskarsuman4438 4 ปีที่แล้ว

    Hlo sir ...u r classs are really awesome.....plz sir put a vdo class on part by part differentiation and integration of Fourier series.

  • @vaibhavyadav6274
    @vaibhavyadav6274 4 ปีที่แล้ว

    thanks sir for the nice explanation

  • @ravish7010
    @ravish7010 4 ปีที่แล้ว

    Very helpful sir 👍👍

  • @RKSDSEF
    @RKSDSEF 10 หลายเดือนก่อน

    sir aap bohot acha teach krte ho sir aap special function and integral transforms MATH ka chapter 1st POWER SERIES ki video avaible kra dijiye plz

  • @jasminarabegum4630
    @jasminarabegum4630 4 ปีที่แล้ว

    Very valuable video sir, Thank you.

  • @dineshmishra9460
    @dineshmishra9460 3 ปีที่แล้ว

    Sir your works are great

  • @t.r.icraftsworld8389
    @t.r.icraftsworld8389 3 ปีที่แล้ว

    I don't know hindi sir but I could understand this chapter .anyway thank you so much sir 💓💓💓💓if you can explain in English then we can understand very well sir 😇😇

  • @ranaatul1306
    @ranaatul1306 4 ปีที่แล้ว

    learnt everything you taught sir,,,love it ,,,,,,,,

  • @babloosingh5994
    @babloosingh5994 5 ปีที่แล้ว +2

    Sir ji thank you for making this topic

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Thanks for
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      Revision Class | Board Exam 2019
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      Topic:- Higher Order Differential Equation
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      Topic:- Second Order Differential equation of Variable
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      Dr.Gajendra Purohit

  • @svishwanath5412
    @svishwanath5412 4 ปีที่แล้ว

    Thank you so much sir
    It helps a lot for me