## Problem 03 | Change of Scale Property of Laplace Transform

Problem 03
Supposed that the Laplace transform of a certain function   $f(t)$   is   $\dfrac{s^2 - s + 1}{(2s + 1)^2 (s - 1)}$,   find the Laplace transform of   $f(2t)$.

## Problem 02 | Change of Scale Property of Laplace Transform

Problem 02
Given that   $\mathcal{L} \left( \dfrac{\sin t}{t} \right) = \arctan \left( \dfrac{1}{s} \right)$,   find   $\mathcal{L} \left( \dfrac{\sin 3t}{t} \right)$.

## Problem 01 | Change of Scale Property of Laplace Transform

Problem 01
Find the Laplace transform of   $f(t) = \cos 4t$   using the change of scale property.