Convert the following equation from Laplace domain to continuous time domain: F(s)=(-2mkvR)/(2mRs^2+mks+2kR) m, k, v, R are all constants.

Need to convert the following equation from Laplace domain to continuous time domain:
$F\left(s\right)=\frac{-2mkvR}{2mR{s}^{2}+mks+2kR}$
m, k, v, R are all constants.
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Kristopher Beard
It is a quadratic in s, so you can factor it using the quadratic formula.

and you can use partial fractions.

sooxicyiy
First, use the quadratic formula to find the roots of the denominator and write F(s) in the following form:
$F\left(s\right)=\frac{C}{\left(s-a\right)\left(s-b\right)}.$
If a=b, you are done. Otherwise, the partial fraction expansion will be
$F\left(s\right)=\frac{C}{\left(s-a\right)\left(s-b\right)}=\frac{C}{b-a}\left(\frac{1}{s-a}-\frac{1}{s-b}\right).$