In Exercise, an electromotive force is given in piecewise form, a favorite among engineers...

In Exercise, an electromotive force is given in piecewise form, a favorite among engineers. Assume that the initial charge on the capacitor is zero [q (0) = 0].

(i) Use a numerical solver to draw a graph of the charge on the capacitor during the time interval [0, 4].

(ii) Find an explicit solution and use the formula to determine the charge on the capacitor at the end of the four-second time period.