Because the terms with index lower than 2 in the power series become constants when you differentiate twice, and so when you take the derivatives of constants that is equal to 0. There would be no point summing cero twice to get to the 2-index term. Hope you find it helpful.
Yes but after solving this equation by power series i would like to have following If we assume that a_{0} = arbitrary constant and a_{1} = 0 for n even or a_{0} = 0 and c_{1} = arbitrary constant for n odd then series solution terminates after nth term Moreover to get P_{n}(x) we need to have y(1) = 1
Thank you so much! this was so well explained!
Why is the index running from 0 and not 2 in the double derivative?
Because the terms with index lower than 2 in the power series become constants when you differentiate twice, and so when you take the derivatives of constants that is equal to 0. There would be no point summing cero twice to get to the 2-index term. Hope you find it helpful.
Yes but after solving this equation by power series i would like to have following
If we assume that a_{0} = arbitrary constant and a_{1} = 0 for n even
or a_{0} = 0 and c_{1} = arbitrary constant for n odd
then series solution terminates after nth term
Moreover to get P_{n}(x) we need to have y(1) = 1
I know legendre’s equation your explain .So,thank you so much
Thank you so much sir, Well explained.
Thankyou sir for this video..helped me alot..
Thank you so much sir
Thank you sir, your video very helpful for us. I like you because u can solved problem very easy method. I see your video from Bangladesh .❤❤❤
Thanks and welcome
Good explanation in less time.....thanks a lot
Good and clear
explanation
Thanks and welcome
Can you please make a video on solution of associate legendre equation by power series method????
Hnji Sir 🙏
Sir can u please upload the video of hermite differential equation
Superb explanation
Thank you 🙂
Very useful
Very helpful
Ascending or descending this equation solve??
❤ thx a lot sir
Please took video of solution of bessel function
How to write equations
Sir please explain W=e^z
Thank you sir much needed explanation ☺☺
Well explained..!!✨✨
Thank you 🙂
Super explanation
Thank you 🙂
Tnq sir very usefull video
Welcome
Nice
Thanks but At second derivative it's supposed to run from n=2 sir kindly
Thanku sir 🙏🙏
Pls upload topology 1 subject sir
thank u sir..
Welcome
Y ko differentiate krte time r=0.to r=1,2 nhi kiye h
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what'sapp no sir
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You are too fast man.i think u thought of going somewhere at that time