Proceed as in Example $6$ to solve the given initial$-$value problem. Use a graphing utility to graph the continuous function $y(x).$

$\frac{dy}{dx}+P(x)y=0,y(0)=6,$ where

$P(x)=\{\begin{array}{cc}1,& 0x2\end{array}$

$3,x>2$

$y=\{\begin{array}{cc},& 0x2\end{array}$

$,x>2$