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Differential EquationsChallengeNonhomogeneous Equations & Resonance

Nonhomogeneous Equations & Resonance · Challenge problem

The equation y′′−4y=8te2ty''-4y=8te^{2t} has a particular solution of the form yp=t(At+B)e2ty_p=t(At+B)e^{2t}. Find BB.