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.

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.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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.

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