Consider dy/dt + 2y = e 3t . (a) Verify that (t) = e 2t is an integrating factor. (b) Use Eq. (4) to find

Consider dy/dt + 2y = e^−3t.

(a) Verify that α(t) = e^2t is an integrating factor.
(b) Use Eq. (4) to find the general solution.

(c) Find the particular solution with initial condition y(0) = 1.

1 y = -a(x) (fa(x)Q(x) dx)