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Differential EquationsMediumNonhomogeneous Equations & Resonance

Nonhomogeneous Equations & Resonance · Medium problem

The equation y′′+y′=3t2y''+y'=3t^2 has a particular solution of the form yp=t(At2+Bt+C)y_p=t(At^2+Bt+C). Find yp(1)y_p(1).