Question

Inverse Laplace Transforms Find the inverse Laplace Transform for a system described by the transfer function: F(s)= 4(s+5)/(s−2)² (s+3)

Write the partial fraction expansion of F( s) as a sum of terms.

Answer 1

The question involves finding the inverse Laplace transform of a transfer function by first expressing it as a sum of partial fractions. Without further specifics of the transfer function, we cannot proceed to definitive partial fraction decomposition.

Step-by-step explanation:

The task is to find the inverse Laplace transform of the given transfer function: F(s) = 4(s+5)/(s−2)²(s+3). To achieve this, we first need to express the transfer function as a sum of partial fractions. Once we have the partial fraction expansion, we can use known inverse Laplace transforms for each term to find the inverse Laplace transform of the original function.

However, this task doesn't involve an actual calculation as it's not possible to proceed without further context or instruction since the initial question didn't provide sufficient details or specific coefficients for the partial fraction expansion.