To find a particular solution of a forced equation with
Chapter , Problem 15(choose chapter or problem)
To find a particular solution of a forced equation with sine or cosine forcing, we solved the corresponding complexified equation. This method is particularly effi- cient, but there are other approaches. Find a particular solution via the Method of Undetermined Coefficients for the equation d2 y dt2 + 3 dy dt + y = cos 3t (a) by using the guess yp(t) = a cos 3t + b sin 3t (with a and b as undetermined coefficients) and (b) by using the guess yp(t) = A cos(3t + ) (with A and as undetermined coefficients).
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