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Differential EquationsMediumNonhomogeneous Equations & Resonance

Nonhomogeneous Equations & Resonance · Medium problem

The equation y′′+y=etcos⁡ty''+y=e^{t}\cos t has a particular solution of the form yp=et(Acos⁡t+Bsin⁡t)y_p=e^{t}(A\cos t+B\sin t). Find BB.