📘 laplace transforms

1. **State the problem:** Find the inverse Laplace transform of the expression $$\sqrt{5-1} + \ln \sqrt{5^2 -1^2}$$. 2. **Simplify the expression inside the Laplace inverse:**

1. The problem is to find the Laplace transform of $\frac{f(t)}{t}$ given that the Laplace transform of $f(t)$ is $F(s)$. 2. The formula to use is: If $\mathcal{L}\{f(t)\} = F(s)$,

1. **Problem:** Find the Laplace transform of the constant function $-2$. 2. **Formula:** The Laplace transform of a constant $a$ is given by