How Do You Apply the Heaviside Function in Green's Function Solutions?

[sassie]

Homework Statement

Find the solution for

L[y]=H(t-pi/2)sint=q(t)
y(0)=0

by using the Green's function.

Homework Equations

The Attempt at a Solution

My problem is that I'm stuck with how to get the Heaviside into the required general solution. Is it anything to do with the fact that the Heaviside function is the integral of the Delta Dirac function? Help. I'm really stuck!

 

[vela]

Homework Statement

Find the solution for

L[y]=H(t-pi/2)sint=q(t)
y(0)=0

by using the Green's function.

Homework Equations

The Attempt at a Solution

My problem is that I'm stuck with how to get the Heaviside into the required general solution. Is it anything to do with the fact that the Heaviside function is the integral of the Delta Dirac function? Help. I'm really stuck!

Did you find the Green's function? What is the solution y(t) in terms of the Green's function?