1. The problem statement, all variables and given/known data Solve the following differential equation for q(t) (position): q''-qω^2 = C, where C is a time-independant value (basically a constant) 3. The attempt at a solution This equation is not homogeneous, therefore it must be non-homogeneous. However, in every definition of non-homogeneous differential equation I have found (textbooks and Internet), the source term (in this case, C) is labelled as dependent on time So, do I apply the regular techniques to solve NH diff. equations? e.g. q(t) = qh(t) + qp(t) , where qh and qp are the homogeneous and particular solutions, respectively. The only solution I may have would be to get rid of the constant by derivating both sides, and then solving q'''-q'w^2 = 0 instead, but I heavily doubt it's the right way.