- #1

bmed90

- 99

- 0

## Homework Statement

Hi I would like to know how to expand 20/2s(s^2+9) in order to find the inverse Laplace Transform of the function K(s) to gt k(t). The (s^2+9) term in the denominator is throwing my calculations off for the constants because of the s^2 term.

## Homework Equations

## The Attempt at a Solution

I attempted to use partial fraction decomposition and expanded like so

c1/2 + c2/s + c3/(s^2+9)

from there I multiplied both sides by the common denominator, attempted to distribute and collect like terms to equate coefficients in order to find the proper system of equations to find the constants in order to take the inverse laplace of each term to find k(t) however I don't think I am expanding this problem right in the partial decomp and s^2+9 is not factorable any further. Please help!