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Differential EquationsEasyNonhomogeneous Equations & Resonance

Nonhomogeneous Equations & Resonance · Easy problem

The general solution of y′′−4y=8y''-4y=8 is y=c1e2t+c2e−2t+ky=c_1e^{2t}+c_2e^{-2t}+k for a fixed constant kk. Find kk.