1)Use the Laplace transform to solve the following initial value problem:

y4y21y=(t5)

y(0)=0,y(0)=0

Use step(t-c) foruc(t).

y(t)=?

2)

Use the Laplace transform to solve the following initial value problem:

y+9y=8(t4)

y(0)=0, y(0)=0

Use step(t-c) foruc(t).

y(t)=?

3)

Use the Laplace transform to solve the following initial value problem:

y+6y+45y=(t2)

y(0)=0,y(0)=0

Use step(t-c) foruc(t).