# Find L^{-1}left{frac{1}{(s + 6)(s - 4)}right}

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Raheem Donnelly

Recall: Linearity Property: Suppose ${f}_{1}\left(p\right)$ and are Laplace transformation
of ${F}_{1}\left(t\right)$ and  ${F}_{2}\left(t\right)$ respectively. Then,

For Inverse Laplace transformation,

Results:

We have to find the value of
Can be written as,

Comparing the coefficients of s and the constant term, we get,

So,
Taking Inverse Laplace transformation on both sides of the above equation, we get,

Therefore, the required solution is,
${L}^{-1}$