Series Solution of Differential Equation | Legendre Polynomial | Power Series Method

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This video lecture of Series Solution of Differential Equation | Legendre Polynomial | Power Series Method | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
1. What is Power Series ?
2. How find series Solution of Legendre Polynomial by power series method ?
3. Example Based on Power Series Method and Solution of Legendre Polynomial.
#SeriesSolution #PowerSeriesMethod #LegendrePloynomial
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This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech students also preparing NET, GATE and IIT-JAM Aspirants.
Find Online Engineering Math 2019 Online Solutions Of Series Solution of Differential Equation | Legendre Polynomial | Power Series Method | Problems & Concepts by GP Sir (Gajendra Purohit)
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Time Stamp
An introduction - 0:00
Power series method - 0:54
Q1. - 3:00
Q2. - 12:52
Detailed about old videos - 23:30

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Dr.Gajendra Purohit

[gajendrapurohit]

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Dr.Gajendra Purohit

[gravitycircleRAHULPAL]

Sir U are doing great work helping thousands of students free of cost, there are very few people's like u in this world
I salute u😘😘😍

[aryansinha]

Hello Sir,
I'm referring To Jain And Iyengar, it's summation in 1st and subsequent derivatives of y should have summation from 1, 2... respectively. Moreover if we think logically, in (y') if we take from 0 to infinity, for the constant term in series, the derivative becomes (constant/x). But it should be 0.

[autopy]

You're the only hope left for me to clear my Mathematics2.

[PragyaRawat-wldh]

Sir i have a question, if legendre already has a assumed solution i.e., y = Σ αr x^m-r . Then why are we using power series solution (y=Σαr x^r) to. Solve the legendre's equation.. Can't we use legendre's solution.

[saswatasaha]

Sir agar apne r ki jagah r+2 put kiya toh apko summation ta limit r=2 se infinity ♾️ lena parega. Agar waha r=0 se start karenge toh 1st term a2 se start hoga. Then what about a0 or a1 ?

[aritramukhopadhyay]

Sir the first sum that you solved, a7 will be equal to (-1/16)a1.

[prashanth.g]

at 8:00 if u put r=r+2, then limit will be from r=-2 to infinity..how can we combine them?
also, a7=-1/16 a1...not -1/48 a1

[sameerpanwar]

Sir, at 7:37, while putting r = r+2 limits should also be changed . The changed limits should be from r = 2 to infinity

[punyatoya]

Sir your teaching method is awesome 🤓.
Sir me bsc 2nd yr ka student hun..wo Hermite function hota nhi mere se.. sir plzzzz🙏🏻 descibe though vdo.

[arjunarora]

Sir u r amazing 😍😍😍 first time I loved a teacher. U r saving me from getting re.. thanku so much sir

[guitarunique]

Ur way of teaching is quite student friendly.. I really appreciate the way u teach sir.. Every word of urs is crystal clear nd easily understandable ! Thnks

[rkg]

Sir while putting r= r+2 limit should also be changed but why you didn't change that it's so confusing. I think u are very busy that's why you are hurrying up a lot so we can't understand it properly. But thanks for ur constant support.

[shivanikumarirollno]

Sir you are one of the best teacher for me

[aditibhagat.]

Sir, the most important thing is you teaches the concepts very accurately ....thank u sir

[Robinsingh-rlrx]

Studying during lockdown.... sir, U r only hope in lockdown. thnx sir.

[rahulumale]

Sir how you can put r=r+2 in the first summation and leaving the second summation as r=r . Plzz help me to understand this

[deependrasingh]

Sir you are good teacher in online study

[manujawasthi]

@Dr.Gajendra Purohit can i solve Legendre equation by forbenius method ?

[SUBHAM_BOSE]

Solve: (2+ x^2) y2 + xy1 + (1+x)y =0
Sir in this problem x=0 is an ordinary point. But in book they have taken it to be reg singular point and solved. I am unable to understand sir. I am talking about das pal engg mathematics vol. 2, page-(3-75).