Chapter 3, Problem 3.8PT

The current flowing through a $20-\mu \text{F}$ capacitor having terminals labeled a and b is $i_{ab}=3\times {10}^5{t}^2\exp \left(-2000t\right)$ A for $t\ge 0$ . Given that $v_{ab}\left(0\right)=5V$ , write a sequence of MATLAB commands to find the expression for $v_{ab}\left(t\right)$ for $t\ge 0$ and to produce plots of the current and voltage for $0\le t\le 5$ ms.