Problem 2 (15 points)

Solve the differential equation below for y(t) using partial fraction expansion and inverse

Laplace transforms. Show all steps for your work.

d'y d³y d'y dy

+11. +42 +64 +32y = S(t)

dt4 dt ³

dt²

dt

d³y d'y

dy

-(0)

dt

dt

dt

=

(0)

=

-(0)=y(0)=0