I'm just a beginner learning Mathematica. I'd like to do something with it, but I don't know if it is possible.
Suppose I want to solve a system of differential equations, maybe a nonlinear one, and I just want to check whether or not a certain function satisfies the system. Is it possible to give the ansatz and let Mathematica tell me if I guessed the solution correctly?
Moreover, if there are some parameters, is it possible to know the values of the parameters for which your solution is valid?
If this is possible, can you tell me how to do it or where I should look for (books, pdf or anything) to learn how to do it?