MathCastle
Differential EquationsMediumNonhomogeneous Equations & Resonance

Nonhomogeneous Equations & Resonance · Medium problem

The equation y′′+2y′+5y=8e−tcos⁡2ty''+2y'+5y=8e^{-t}\cos 2t has a particular solution yp=te−t(Acos⁡2t+Bsin⁡2t)y_p=te^{-t}(A\cos 2t+B\sin 2t). Find BB.