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Differential EquationsHardNonhomogeneous Equations & Resonance

Nonhomogeneous Equations & Resonance · Hard problem

Find a particular solution of y′′+3y′−1y=1−4ty'' + 3y' - 1y = 1 - 4 t of the form yp=At+By_p = At + B. What is BB? Express your answer as a common fraction or integer.