I have a de that I have gotten maple to solve using dsolve (y'''+2y''-11y'-12y)=48-28exp(3t). When the solution comes up however, the particular solution is in an odd form:
However, the particular solution here contains part of the homogeneous solution inside of it: namely the 11/28exp(3t) term. Is there any way to run a function on my solution that basically checks to make sure the "particular solution" isn't just a constant multiple of one of my homogeneous solutions? Or do I just have to check manually?