How to Solve Inverse Laplace Transforms for a Rational Function?

[madmike159]

Homework Statement

Find the Inverse Laplace Transform of $$\frac{200}{s^{2}+10s+200}$$

Homework Equations

The Attempt at a Solution

Normaly use partial fractions to get simple functions that can be transformed using a table of transforms.

 

[hunt_mat]

Write the denominator as:
$$(s+5)^2+175$$

 

[madmike159]

Thanks. there's a identity I can use to solve it in this form.