For the following scenarios derive the required mathematical model in the form of a differential equation: a) The instantaneous current i at the time t in a simple DC RL circuit. b) The displacement x...

For the following scenario derive the required mathematical model in the form of a differential equation:

Extracted text: For the following scenarios derive the required mathematical model in the form of a differential equation: a) The instantaneous current i at the time t in a simple DC RL circuit. b) The displacement x of a mass m on a spring when the mass is pulled down from its equilibrium position and released when there is a damping force proportional to the velocity.