Consider a resistor-inductor circuit where a 10V force is applied for a period of 2 seconds. The equation for the current in the circuit is given by:
di/dt + 5i = 10 (U(t - 1) - U(t - 3))
with an initial current i(0) = 3.
Here, i(t) represents the current as a function of time.
U(t) is the unit step function.
Solve for the current in the circuit as a function of time.
Clearly show the steps you have taken to obtain the solution, and clearly explain your solution. A poorly annotated solution will earn a low score.