For each of the following forcing functions, identify an appropriate trial solution to use in solving the DE y'+ay = g(t). You do not need to actually solve for the

undetermined.coefficients. \text { a) } g(t)=2 \sin 4 t+4 \cos 2 t \text { (b) } g(t)=1+t^{2}+3 \sin 5 t \text { (c) } g(t)=e^{-10 t}+e^{2 t}+t+2 \cos 3 t