Question

solve :-
\((1-x^2)y''-2xy'+20y=0\)

Answer 1

This isn't one of those Bessel function solutions, isn't it? I forget the form of the ODE for that kind of solution.

Answer 2

it is bessel

Answer 3

i have exam , so trying to study it

Answer 4

any explanation would be fine >.<

Answer 5

Are you sure about the Bessel function being a solution? WA gives a solution in terms of elementary functions: http://www.wolframalpha.com/input/?i=%281-x%5E2%29+y%27%27-2+x+y%27+%2B+20+y%3D0

Answer 6

ok i'll follow my notes and u see if im doing good

Answer 7

n=4
since we have 20 =4*5
so one of the solutions is Legender's polynomial 4