em:

y

+

y

+ 4

.

25

y

=

21

.

5 cos(3

t

) + 13 sin(3

t

)

, y

(0) = 1

, y

(0) = 0

4. (8 points) Solve the following initial value problem: 3;\" + y' + 4.25y = 21.5cos(3t) + 13 sin(3t), y(0) = 1, y'(0) = 0 Indicate what part of your solution, if any, is transient, and what part is the steady state