I have(adsbygoogle = window.adsbygoogle || []).push({});

y'' + 2y' - 3y = Dirac(t)

I use the laplacetransformation and get

s^2Y + 2sY - 3Y = 1

Y = 1/4 * 1/(s-1) - 1/4 * 1/(s+3) (skipped some steps)

I try to use inverselaplace and recieve

y = 1/4*exp(t) * H(t) - 1/4 * exp(-3t)*H(t)

Where H(t) is the heaviside function.

the correct answear should be 1/4*exp(t) *( H(t) -1) - 1/4 * exp(-3t)*H(t).

What am I doing wrong. They ask for "the limited solution" does that mean anything particulairy?

Thnx for any help

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Solving D.E with Laplace

**Physics Forums | Science Articles, Homework Help, Discussion**