I'm not sure if I'm using the correct terminology, but just to be sure let me explain what I understand to be coupled DE's (or CDEs); A set of DEs with the all derivatives taken with respect to a single parameter t and each DE depending on the functions f1,f2,...,fn. If you guys would like to correct me on nomenclature, I'd be glad to hear it. Now that definitions are out of the way, I can begin to ask my questions. You don't have to answer all of them, though that would be great as well =). 1)Where can I find some good resources on methods to solve CDEs (websites, books, etc..) 2)How can I solve this system: ax''+bx+cy=d ex''+fy''=g Where a,b,c,d,e,f,g are constants and x and y is what were looking for. A general solution is ideal, but if that is impossible here is some initial conditions. x(0)=0; x'(0)=0 y(0)=0; y'(0)=0 From what I understand, this could possibly be solved with Laplace Transform, however my math is a little lacking in that department so while your reading this question, I may be brushing up on the subject. Anyways, thanks in advance people.