Chapter 2.3, Problem 37E

In Problems 37–40 proceed as in Example 6 to solve the given initial-value problem. Use a graphing utility to graph the continuous function y(x).

37. $\frac{dy}{dx}+2y=f(x),$ y(0) = 0, where

$f(x)=\{\begin{array}{l}1,\text{ 0}\le x\le 3\\ 0,x>3\end{array}$