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Differential EquationsEasyNonhomogeneous Equations & Resonance

Nonhomogeneous Equations & Resonance · Easy problem

The first-order equation y′+y=2cos⁡ty'+y=2\cos t has a particular solution of the form yp=Acos⁡t+Bsin⁡ty_p=A\cos t+B\sin t. Find yp(0)y_p(0).