How do I use dsolve() to solve a second order ODE with variable coefficients?

Hello, I need to use dsolve() to solve the following equation for a solution y(t)

      a(t)y"(t) + a'(t)y'(t) = f(t)

Where f(t) is 5 sin^2(2*pi*t) and a(t) = 1 + t.

I have tried dsolve('(1+t)*D2y + Dy = 5*sin(2*pi*t)^2'), and dsolve('D2y + (Dy / (1 + t)) = (5*sin(2*pi*t)^2) / (1 + t). But both have yielded no luck.

Answer 1

[Torsten]

http://www.wolframalpha.com/input/?i=(1%2Bt)*y''(t)+%2B+y'(t)+%3D+5*(Sin%5B2*pi*t%5D)%5E2

Best wishes

Torsten.