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## Homework Statement

x'=ax +f(t) where a & x are elements of the reals, a is a constant

Let x_p be any particular solution of the equation. Show that the general solution is

x(t)=x_p(t) +ce^at

## Homework Equations

Where should I start with this? I know integrating x'=ax gives the ce^at part but how do I show that the general solution has the entire form asked for?