I want to use MAXIMA to perform the separation of variables on a 3d nonlinear differential equation (and then solve a 1d equation). I think I can write a program to do this by trial and error with different functional forms, but I'm new to SAGE and don't want to start from scratch. Can you think of any sample programs that would make a good starting point (e.g. using second-order differentials in spherical coordinates)?
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