Reducing to bessel equation

[Djproject]

Hi all can anyone help me to reduce following diff.Equ. to bessel eq.

4x^3*y''-y=0

thanks in advance .

I am also still trying to show that it can be converted to bessel function.

 

[g_edgar]

try z(t) = t*y(1/t^2) and x=1/t^2 in your equation...