I've been working with Laplace Transforms and integration ALOT lately. Many times I windup having to use partial fractions to solve the problem and frankly my algebra skills just aren't up to the task.(adsbygoogle = window.adsbygoogle || []).push({});

Take this fraction for example;

I know 3 ways to do it... 1 of the ways doesn't work unless there is a repeated root. Another uses complex numbers which is absurdly messy. And finally, the last method I know rarely seems to work... or I just don't know what I am doing!

Using the repeated root to have a setup like this is easy;

This way is pretty clean cut for most applications, but you need a repeated root for it to work.

I find the usage of complex numbers to work the best;

But, my professors HATE me when I do this. It tends to make them dock extra points on petty mistakes, so if at all possible I want to avoiding using this method.

Finally, this is the method I want to learn to use better;

I can OCCASIONALLY get this method to work when I set V = to i. I sometimes end up with an equation at the end like this;

# - #i = B(V) + Ci

And that is pretty easy to solve for the variables B and C. As you can see though, it just doesn't work here, or I am worse than I thought at algebra!

Thank you for your time!~

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

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

# Homework Help: Partial Fractions

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