Determine the form of a particular solution y,(x) for the differential equations (a) y" + 6y' + 13y = e-3* cos(2r) (b) y" +3y + 2y = x(e - e-2") (c) y" + 4y = 3r cos(2r) using the method of...

Extracted text: Determine the form of a particular solution y,(x) for the differential equations (a) y" + 6y' + 13y = e-3* cos(2r) (b) y" +3y + 2y = x(e - e-2") (c) y" + 4y = 3r cos(2r) using the method of undetermined coefficients (Do not solve the equation).