Differential Equations - Introduction - Part 1

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• [XII][Mathematics] Int...
Chapter Name: Differential Equations
Grade: XII
Author: AKHIL KUMAR
#centumacademy, #jee, #akhilkumar
__________________________
A STEP BY STEP GUIDE TO PREPARE FOR BOARDS & COMPETITIVE EXAMINATIONS This session can be useful to students of high school of CBSE, ICSE, IGCSE or State Boards, as well as those who are preparing for competitive exams like NTSE, IIT JEE, NEET, KVPY, CET, Olympiads, Bank PO, CLAT, SAT, CAT, GMAT, GRE, UPSC Civil Services Examination, NDA
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please visit: centum.learnys...
Website: centumacademy.com
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[@muhammadqasim8677]

Fully mathematics language
Full energy of teaching
Good control on step by step

[@lemonzest905]

I hear the accent and I know this video will save me from failing

[@CentumAcademy]

Thanks for watching:)

[@lalablah8493]

and the handwriting

[@DeeptiSharma01]

Really

[@Cryptorie]

😅😅😅 same here I just love Indians they teach to understanding

[@subbukrish]

i am a senior citizen now. i was a very poor student in Mathematics as in other subjects. My teachers were excellent and it will be sinful to blame them for my not doing well in studies. i was not attentive and that is the reason for not well in studies. so dear students please do not allow you mind to wander when u r taught ant subject. it is worse than losing wealth or jewels. Concentration is the key to acquire unlimited knowledge. This lecture is really good and he teaches fine.

[@CentumAcademy]

Thanks for those valuable words Sir...

[@influential7693]

Sir your energy is literally being passed on to me.. Thank you so much for teaching this topic.

[@CentumAcademy]

Thanks ... all the best

[@shaniyakhan5292]

Better than other videos on this topic , explained every term very clearly. Keep teaching and helping us....

[@godfidence1]

Not a single minute into it, I'm very certain this video will make me fall in love with diff eq .. 😀

[@soumyasingh6142]

This was so informative, I'm pursuing (2nd year) btech yet I prefer this channel time to time, for the love of maths. Thank you, for these efforts for jee kids ❤️

[@tm.thackeray4717]

Apsulutaly right

[@hanningtonkayanja4033]

I like the way you explain. very clear and understandable by any category of student.
Thanks

[@smiley6nofx]

Very well explained sir! far easier to understand than my own professor. Thank you so much for your videos. ❤️

[@anandyadavyadav3101]

Good marnig hae

[@anilnikam795]

Nice sir

[@jarinaktermou5348]

you are truly a gem. Finally understand the concept of differential eq

[@CentumAcademy]

Thanks for watching… all the best from Centum Academy

[@lydiawanjiru4184]

Love the way you explain each step
Easy to understand
Keep up the good work

[@CentumAcademy]

Thanks a lot for your words of appreciation

[@emmanuelandrew560]

God bless you sir
You make this topic very easy for me 👍👍

[@georgesadler7830]

Professor Kumar, thank you for an outstanding Introduction to Differential Equations. This topic really helps me understand the Order and Degree of a Differential Equation.

[@ajju3236]

Sir in last problem can we convert dy/dx=√3x+5 as (dy/dx)²=3x+5,If so then the degree becomes 2? Explain it sir

[@desmondadutwum9925]

Thank you very much. I have an exam tomorrow and you've really helped me with this video

[@maribeljorbina6477]

Thank you sir! I now understand the terms and conditions in getting the order and degree in differential equation. Thanks a lot. Keep it up.

[@CentumAcademy]

Thanks for watching the video...alll the very best

[@kiran9651]

Thanks for teaching us 🙏

[@tejavathnagaraju3403]

An clear and exactly information and teaching is good sir ... thank you

[@CentumAcademy]

Thanks Nagaraju...all the best

[@icerislive]

Sir thank to you for clearing this doubt for me and the manner of your explanation is the best i ever seen.
Thank you sir

[@CentumAcademy]

Thanks for those words Ishant

[@Jesner-vh4fq]

I like the way you teach, thank you Sir!

[@rajibdas6116]

Thank you sir.

[@CentumAcademy]

Thanks for watching Rajib... all
The best

[@rajibdas6116]

@@CentumAcademy Again, thank you sir .

[@harshanilakmali2636]

Very clear and understandable. Thank you!

[@gabrielkuchherbalachiek3870]

You are one of the best tutor I trust thank you

[@g9511]

Sir you explained in a very good way now I'm fan of yours I want to be with you till my final exams😉😉

[@CentumAcademy]

Thanks Gurpal.. Wishing you the best for your final exams...

[@miriamikechukwu1875]

Can I give likes 100 times?
Best explanation I have found so far. Thanks sir

[@CentumAcademy]

Your one like is worth million likes … thanks a ton

[@mshahadatislam5068]

no unnecessary gossip, full energy..one of the best video i ever seen... Thanks

[@davidvolland7250]

Would it be easier to say “ the degree of the highest differential coefficient, when all differential coefficients in the equation are expressed in polynomial form? Did I say the same thing, is this clearer? COMMENTS PLEASE

[@CliffSedge-nu5fv]

Yes, and it would be even better to not use the word coefficient that way.

[@NirajSingh-pf9vm]

Your video is very good, make as much video as you can, we help people.

[@ramalakshmi6258]

Very nice to explain. Easily understood

[@CentumAcademy]

Thanks Rama Lakshmi.... all the best...

[@kabandajamir9844]

So nice the world's best teacher

[@Puja-fc2yy]

Thank you so much sir.

[@quickmeal8513]

👍👍👍👍👍👍👍👍👍👍👍Honestly this lecture opened my mind... Thank you so much sir 🙏🙏🙏🙏🎉🎉🎉🎉

[@TC-hh8dc]

Good nemories of all my Engineering classes in college.

[@tanvirchowdhury1360]

Thanks A Lot...From Bangladesh🇧🇩

[@krishnaraj3989]

This was one of the best explanations of differential equations on youtube, Thank you Sir! Please keep going!

[@CentumAcademy]

Thanks for those words Krishnaraj...all the best to you

[@ASHISHVERMA-xh4dd]

beautifully & neatly explained... keep up the goood work

[@CentumAcademy]

Thanks a lot 😊

[@cornerstonebalogun5497]

For question (2)
Is it possible to do this
Sin(p) = p - p^3/3! +p^5/5! - ... Hence
Order: 2 degree: 1

[@VigyMwende]

I think no because it's attached to differential coefficient

[@uzairahmed9727]

Undoubtedly a well explanation thank you so much..

[@mdkabirbangladesh]

Just in 17:40 you made the topics understandable. Thank you.

[@anjalipatil6647]

Yes it's easy way to understand and find out.. thank you so much sir.. God bless u more 👍

[@patrickdimarucut2745]

Very well explained!! Thank u

[@elsiesloth2269]

Well explained. Thankyou 🙏

[@GammaFZ]

you make this really interesting. Slapped like

[@shylapascal8476]

You explained it fully and clearly,easy to understand to sir!Keep teaching!

[@CentumAcademy]

Shyla Pascal. Thanks for your feedback. Let us know if we could help you in other topics as well. Centum Academy wishes you all the best

[@shylapascal8476]

@@CentumAcademy tq centum academy

[@kushikalluri6202]

Thank u sir good
explain in maths

[@medhavipandit5135]

the very last one is 2nd degree because it wasn't previously a polynomial eqn??!!

[@maaarbs81]

very nice explanation
very helpful

[@CentumAcademy]

Thanks 👍

[@loisemuthee2027]

God bless you sir this is super

[@raaghavir1059]

Really great explanation sir 🙏🙏

[@CentumAcademy]

Thanks for watching Raaghavi... best wishes to you

[@raaghavir1059]

Thank you sir. I scored well in my exams this time👍🙏🙏

[@successfulvictorypublisher6090]

Very clear, step-by-step explanation of confusing and complex, higher-level mathematical concepts...expert lecturer! Keep up the great work Sir, and more of such Mathematics-based videos please! God bless you and all! Even a so-called weak or very weak student of Maths can go on to shine and outshine with such a clear-cut training, for this I personally believe!

[@Mathsandfun-1]

Thank u sir😊and ur writing👌👌

[@lifeofurpundergrad..11]

❤️❤️this video saved me

[@CentumAcademy]

Glad that you liked it Mitu Tajmeen... all the best

[@yuvankumar.a3152]

crystal clear ;super explanation; plzz keep doing on further videos -))

[@CentumAcademy]

Thanks Yuvan...best wishes

[@saiakella2281]

Very well explained sir....to share more videos thank you sir

[@mangadoddisuresh9134]

Really excelent sir

[@CentumAcademy]

Many many thanks

[@gabytorres1848]

you explained this so well i've been watching videos for like half an hour and this is the first one I actually understand. thank you so much and keep doing what you do!

[@CentumAcademy]

Thanks for those words...

[@ssingla1794]

awesome video.. very well explained sir.. thanks for the video..

[@123soujanya3]

Sir degree of differential equation dy/dx +2dx/dy=7 is

[@Trafalgar_D_law_]

Keep doing some more videos sir it's very helpful

[@sridhiralarenuka5650]

Really super sir thank you so much sir

[@CentumAcademy]

Thanks Sridhirala Renuka... wishing you the best...

[@sridhiralarenuka5650]

@@CentumAcademy thank u sir

[@ishankavinda9414]

Explain very clearly . Appreciate it

[@CentumAcademy]

Thanks Ishan... all the best

[@ishankavinda9414]

@@CentumAcademy can you explain seperable equation and homogeneous ? What's the different of arbitrary constant and parameter??? Need your support to clearly understand to me!

[@CentumAcademy]

Hi Ishan, thanks for writing to us. You can check the link in the description. You will find the required content there. Let us know if you need more assistance...

[@mijopalatty]

Tnq sirr...really useful...

[@CentumAcademy]

Thanks and keep watching

[@ananyadutta2637]

Sir thanks you really talk about "to the point'thanks sir

[@CentumAcademy]

Most welcome

[@zohaa302]

do make lects of other chp also . great techig sir

[@secretlistener__5433]

Thank you sir...well explained and nice class...!!

[@sridhiralaradhika5745]

Really super sir

[@CentumAcademy]

Thanks Sridhirala Radhika...wishing you the best.

[@poonam3718]

What is the degree of the differential equation t d²y/dt²+t²dy/dt-(cost) √y=2t²-3t+4 .???

[@emmanuelmanso1632]

Degree is one

[@tanmoydas8884]

Thank u very much sir

[@CentumAcademy]

Thanks Tanmoy...best wishes...

[@sarahjeancole7384]

Thank you so much!

[@CentumAcademy]

Our pleasure Sarah… keep watching

[@raenraebautista4869]

this is great

[@iamproplayerfreefirerudra8805]

Great sir
Thank you very much

[@CentumAcademy]

So nice of you

[@nagarjunanaf5325]

🙏🙏u r great sir

[@CentumAcademy]

Thanks Nagarjuna

[@avinashnegy]

Tnkq sir now I better understand

[@CentumAcademy]

Thanks Avinash...all the best

[@viahttp]

See if a students starts to learn differential equation. Tips for the The teacher, Teacher should start from what is it Diff.Eq. In layman's term. Instead of saying dy by dx, and second order or saying lots of application physics, math, harmonic waves, etc etc.. Teacher should tell student why are we usimg differential equation,what is diffrential equation? And what it mean by Dy? What it means of Dx? What Dy/dx represent? why it is written like that? Does it mean Rate of change? What is rate of change? Anyway. Think like students and their thought. For example You can not say there are lots of different kind of pizza and its been consume by different ppl in diff country. Instead let the first time user know what is pizza? What are Ingredient inside? How its being made? And then benefit of its. So as Dy/Dx.

[@CentumAcademy]

Thank you Aryana for the suggestion. We will definitely work on the feedback.

[@kentdelacruz9972]

Thank you Sir!

[@sanitham9483]

Thank you sir. You are really a good teacher.

[@padmakumari2502]

Best explanation

[@daveb970]

I'd drop the class for the accent alone.

[@commerceuses8931]

Nice teaching sir

[@amanarizvi786]

Thank u sir for this helpful video

[@hemalathayalamarthy7312]

Thank you so much annayya
Because I can understand u teaching

[@krishnakumarlainitha4893]

But we can change the sin as polynomial by tailor rule ..right?

[@romelrosario1913]

...(very)^1000000 well explained sir...far better than my college teacher..pls. keep on doing math tutorials sir..your video is very helpful..

[@creatingpassion7542]

The term log (xy) in last differential equation has y in it so how can then degree be defined???

[@bhuvanadhanya185]

Thanks for extraordinary class pls upload more videos

[@bhargavipala1954]

Thanks a lot sir...it is very helpful

[@arflash6095]

thx sir

[@kpmathsacademy]

outstanding sir

[@mohdsalman-jf9wm]

Thank you

[@Sarya1994]

Damn... U explained in so mindful manner that m not able to forget it now

[@abhijitghosh3555]

Thanks sir

[@CentumAcademy]

Welcome Abhijit...

[@sisaybirle3462]

Very nice i like it

[@zendoc49]

you tube gives forum and pulpit for every charlatan. This guy takes the cake. I know he knows his stuff but there is a big divide between knowing for self and knowing so you can teach others. I hope he has a primary job.

[@reginedevera533]

This video is helping me a lot. Thankyou
-From Philippines

[@shantanusingh6433]

Can u tell me in which class u r

[@Notflix.081]

Thanks you so much sir , I learnt a lot☺️

[@CentumAcademy]

Thanks to you Bibian… keep up the spirit of learning always high…

[@prasadpadma6825]

Sir u explained very nicely really I got the extual concept from you sir. I am wishing you to make some more videos so that all JEE students are capable to understand the concept perfectly without confused

[@CentumAcademy]

Thank you, I will

[@paulcresent5723]

The question with the sin has order 2 and degree 1 because degree is the exponent of 'highest differential coefficient ' and here the highest differential is d^2y/dx^2 and hence
Order 2 deg 1
also sin can also be changed to x+x^3/3!.....

[@CentumAcademy]

If that's the case... then any transcendental function can be expanded using Maclaurin series ..so degree must always exist for any DE??? (even expressed as non polynomial forms)..But unfortunately it doesn't work that way.

[@yuvankumar.a3152]

are there videos available for physics n chemistry ???

[@CentumAcademy]

Yes there are...pls go through the channel playlists...

[@pinetwork-giapi5903]

great video

[@CentumAcademy]

Glad you enjoyed it

[@venkatachalamsrinivasan2208]

Every second matters in this video