Consider the ODE
ÿ(t) + 10y(t) + 25y(t) = p(t)
(a) The general solution yh(t) of the corresponding homogenous ODE is Yh(t) = Use A and B as your arbitrary constants.
(b) Suppose that p(t) = 3 sin(2t). Which of these would be an appropriate form to try for the particular solution y(t)?
a. 3 sin(2t)
b. a sin(2t)
c. 3 sin(at)
d. sin(at) + cos(bt)
e. a sin(21) + a cos(2t)
f. a sin(2t) + bcos(21)
g. at sin(2t)
