Question

In Problems 3 - 24 fill in the blanks or answer true or false.

7.$\mathcal{L}\left\{e^{-7t}\right\}$…….

Short answer

The value is$\frac{1}{S+7}$

Step-by-step solution

To Find the value 

$\begin{array}{l}\mathcal{L}\left\{e^{-7t}\right\}=\frac{1}{s+7}\\ Because\mathcal{L}\left\{e^{at}\right\}=\frac{1}{s-a}\end{array}$

Final proof

The value is$\frac{1}{S+7}$