Engineering Board Exam Reviewer · Inverse Laplace Transforms · medium

Find the inverse Laplace transform of F(s)=1/(s-1)(s-2).

1. e2 t - et
2. - e2 t + et
3. e2 t + et
4. t e2 t

Answer

A. e2 t - et

Solution

Partial fractions: 1/(s-1)(s-2)=-1/s-1+1/s-2. So f(t)=e2t-et.

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