Chapter 8, Problem 26P

The current flowing through a $500\mu F$ capacitor is given in Fig. P8.26. Knowing that $i\left(t\right)=\frac{dq\left(t\right)}{dt}=C\frac{dv\left(t\right)}{dt}$, plot $v\left(t\right)$ for $0\le t\le 4$ sec if $v\left(0\right)=-4\text{V}$, $v\left(2\right)=2\text{V}$, $v\left(4\right)=2\text{V}$, and the maximum voltage is $4\text{V}$.