If the purpose of the general form of the solution to a differential equation is to represent a formula with parameters for the solutions to that differential equation, why is it that we typically want to add some particular solution to the general one? Solution = General Solution + Particular Solution. I suppose I understand why you'd want it there, but the part that I don't remember from my Diff. Eq. stuff from long ago is why the particular solution is not included in the general solution.