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