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Differential EquationsMediumNonhomogeneous Equations & Resonance

Nonhomogeneous Equations & Resonance · Medium problem

The equation y′′+3y′+2y=10sin⁡ty''+3y'+2y=10\sin t has a particular solution yp=Acos⁡t+Bsin⁡ty_p=A\cos t+B\sin t. Find AA.