- #1

squenshl

- 479

- 4

## Homework Statement

Solve, sketch & check it's accuracy by operating on a test function of g'(t) + ag(t) = [tex]\delta[/tex](t-[tex]\xi[/tex]), g(t) = 0, t < [tex]\xi[/tex]

## Homework Equations

## The Attempt at a Solution

I have solved it getting g(t) = c

_{1}e

^{-at}+ e

^{a([tex]\xi[/tex]-t)}H(t-[tex]\xi[/tex]) where H(x) is the Heaviside function. How do I sketch this & operate it on a test function.