Consider the following differential equations. Determine the form of the particular solution, yp, for use in the method of undeter- mined coefficients. Simply find the form of the particular solution without solving for the coefficients. Remember to check for duplication with solutions to the homogeneous equation. (a) 4y + y = t - cos (1)
(b) y" - 5y + 6y = cost-te
(c) y'" - y" = +
(d) y(4) - y = tel + sint