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Differential EquationsChallengeNonhomogeneous Equations & Resonance

Nonhomogeneous Equations & Resonance · Challenge problem

The equation y′′+y′=2t+e−ty''+y'=2t+e^{-t} has a particular solution of the form yp=t(At+B)+Cte−ty_p=t(At+B)+Cte^{-t}. Find yp(1)y_p(1).