(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the inverse Laplace transform of the given functions:

3. [tex]\frac{2}{s^2+3s-4}[/tex]

7. [tex]\frac{2s+1}{s^2-2s+2}[/tex]

2. Relevant equations

Inverse Laplace Transform Table

3. The attempt at a solution

on 3. i made the denominator look like [tex](s+4)(s-1)[/tex] but i got lost from there. i couldn't find anything on the table resembling the equation.

on 7. i completed the square and got [tex]\frac{2s+1}{(s-1)^2+1}[/tex], which resembles [tex]\frac{s-a}{(s-a)^2+b^2}[/tex] on the table, yet i can't seem to make the numerator look like [tex](s-a)[/tex].

if it helps anyone, the answers are 3. [tex]\frac{2}{5}e^t-\frac{2}{5}e^{-4}[/tex] and 7. [tex]2e^{t}cos(t)+3e^{t}sin(t)[/tex].

thanks in advance.

edit: p.s. if anyone has a better table of inverse laplace transformations, the one i posted is really hard to read. i'm using the one in my book but it might be useful, if you need to refer to one in a table when trying to help, to refer to a table you're more comfortable reading.

**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: Inverse Laplace Transformations

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