Question

Differential Equations Problem
Your Help Will be Much Appreciate it
Q. Find an Interval around x=0 for which the IVP
(x-1)y''+1/(9-x^2)y'+(x+2)^(1/2)y=sin(x) has a unique solution

Answer 1

is it advance differential equation ?

Answer 2

University Level (Engineering Major)

Answer 3

even computer can't solve it

Answer 4

http://www.wolframalpha.com/input/?i=%28x-1%29y%27%27%2B%281%2F%289-x%5E2%29y%27%2B%28x%2B2%29%5E%281%2F2%29y%29%3Dsin%28x%29

Answer 5

I am not suppose to solve it! i just have to find the interval where it has a unique solution!
as i know it is more important to know that there is a solution on this interval than knowing it.

Answer 6

I am thinking of the interval where this diff. equation is solvable, but I am not sure if it has to do anything with the radius of convergence.

dam lol, I don't know... what book did you get this question from? and what section? are you studying about forbinous method and tyler seriers?

Answer 7

actually i got this one from my exam revision sheet, and it has nothing to do with what you mentioned. it is just a separate idea called "uniqueness of a solution" and i dont understand the whole idea.

Answer 8

ok i have another question so i am going to close this one. thank you anyway :)