How do I take the inverse laplace transform of something that looks like this? It's part of a larger piecewise-defined second order differential equation, but this is the part I'm stuck on.(adsbygoogle = window.adsbygoogle || []).push({});

(-4s-1)/(4s^2 + s + 4)

Completing the square doesn't work for the bottom, so I figure I need to separate the whole thing into two separate fractions. I still can't figure out how to take the inverse laplace of either resulting fraction, however.

**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!

# Taking the inverse laplace of this?

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