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Differential EquationsChallengeNonhomogeneous Equations & Resonance

Nonhomogeneous Equations & Resonance · Challenge problem

The equation y(3)−3y′′+3y′−y=6ety^{(3)}-3y''+3y'-y=6e^{t} has a particular solution of the form yp=At3ety_p=At^3e^{t}. Find yp(1)y_p(1).