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Differential EquationsMediumNonhomogeneous Equations & Resonance

Nonhomogeneous Equations & Resonance · Medium problem

The equation y′′+9y=12sin⁡3ty''+9y=12\sin 3t has a particular solution of the form yp=t(Acos⁡3t+Bsin⁡3t)y_p=t(A\cos 3t+B\sin 3t). Find yp(π)y_p(\pi).