Chapter 9.2, Problem 28E

(a)

To determine

To show: The solution of the equation $\frac{di}{dt}+\frac{R}{L}i=\frac{V}{L}$ is $i=\frac{V}{R}+C{e}^{-\left(\frac{R}{L}\right)t}$.

(b)

To determine

The value of C by using the initial condition $i\left(0\right)=0$.

(c)

To determine

To show: The value $i=\frac{V}{R}$ is a solution of $\frac{di}{dt}+\frac{R}{L}i=\frac{V}{L}$ and also to show $i=C{e}^{-\left(\frac{R}{L}\right)t}$ satisfies the equation $\frac{di}{dt}+\frac{R}{L}i=0$.