Thanks a lot! That works, but indeed I end up with a funny integral that does not have an analytical solution. I was hoping for an elegant solution, but I'll have to rely on my computer then.
I'm having trouble solving the differential equation (a-bx)y'+(c-dx)y-e=0 with a,b,c,d,e constants.
I tried laplace transforming it, but then I end up with yet another differential equation in the laplace domain because of the xy and xy' terms.