Thanks for all the help so far.
I'm just trying to express the Bessel function in a way that satisfies the boundary conditions. So far I have written it out to:
1- 1/4*k^2*x^2 + (.25*k^2*x^2)^2/4 - (1/4*k^2*x^2)^3/
36 + (.25*x^2*k^2)^4/24^2
Using equation 78 off this link...
I was given the following equation to solve:
x^2*y'' + x*y' + k^2*x^2*y = 0
B.C. y'(0)=0, y(1)=0
where k is just some constant.
I am having a hard time removing the singularity created by the boundary condition at y' and not aware of a method how. Any advice would be greatly appreciated.