Chapter 2.3, Problem 41E

In Problems 41 and 42 proceed as in Example 6 to solve the given initial-value problem. Use a graphing utility to graph the continuous function y(x)

41. $\frac{dy}{dx}+p(x)=4x$, y(0) = 3, where

$P\left(x\right)=\{\begin{array}{l}2,\text{ 0}\le x\le \text{1}\\ \frac{-2}{x},x\text{ >1}\end{array}$