Activity 5: By applying Kirchhoff's Voltage Law to a series RL circuit, we obtain the differential equation: di 4t - + 8 i = 1 , t > 0 dt where i(t) = electrical current in Amperes, and t = time in seconds. 5-A) Use the integrating factor technique to find the expression of the current (general solution) 5-B) Use any other analytical technique to find the expression of the current (general solution) 5-C) Assuming that the current is 1 Amperes when t = 2 seconds, find the expression of the current (particular solution) 5-D) Critically evaluate the obtained solution (expression of current) in transient and steady-state regions. The system changed so that the right-hand side of the differential equation is 0. Use the separation-of-variables technique to find the expression of the current (general solution). 5-E)

Activity 5: By applying Kirchhoff's Voltage Law to a series RL circuit, we obtain the differential equation: di 4t - + 8 i = 1 , t > 0 dt where i(t) = electrical current in Amperes, and t = time in seconds. 5-A) Use the integrating factor technique to find the expression of the current (general solution) 5-B) Use any other analytical technique to find the expression of the current (general solution) 5-C) Assuming that the current is 1 Amperes when t = 2 seconds, find the expression of the current (particular solution) 5-D) Critically evaluate the obtained solution (expression of current) in transient and steady-state regions. The system changed so that the right-hand side of the differential equation is 0. Use the separation-of-variables technique to find the expression of the current (general solution). 5-E)