laplacetransform(t*d^3/dt^3(f(t)) - d^2f(t)/dt^2 + t*df(t)/dt - f(t),t,p

Uh oh! Wolfram|Alpha doesn't run without JavaScript.

Please enable JavaScript. If you don't know how, you can find instructionshere.Once you've done that, refresh this page to start using Wolfram|Alpha.