Linear Combination of Laplace Transforms/Examples

Examples of Use of Linear Combination of Laplace Transforms

Let $\laptrans f$ denote the Laplace transform of the real function $f$.

Example $1$

$\laptrans {4 t^2 - 3 \cos 2 t + 5 e^{-t} } = \dfrac 8 {s^3} - \dfrac {3 s} {s^2 + 4} + \dfrac 5 {s + 1}$