Hi all. Can the general solution of a linear ordinary differential equation be expressed in terms of its initial conditions? It seems that I have seem this kind of representation. It makes "some sense" to me but I hope to know if there is some "proof" or explanation of why it can be? To be specific, for a n-th order ODE, the solution is something like y = y(xo)(something) + y'(xo)(something) + ... + y(n-1)(xo)(something)... why?