Answer:
(1-e^(-2t))*u(t) - (1-e^(-t))*u(t)
Where u(t) is the step function
Explanation:
use partial fraction decomposition. This involves expressing the rational function as the sum of simpler fractions, each with a pole at a different point in the complex plane. Once we have done this, we can use the formula for the inverse Laplace transform of a simple pole to find the inverse Laplace transform of the original function.