## Description

Students will derive the initial conditions for this differential equation by using circuit laws. They will obtain its closed-form solution and its graph.

The students will construct the same electric circuit in NI’s Multisim circuit simulation software running on a PC. They will obtain the graph of the same solution by computer simulation. Free trial versions of this software are available for download from NI’s website.

If laboratory resources are available, students are encouraged to construct the same electric circuit physically on a prototyping board and use laboratory instruments to obtain the graph of the same solution experimentally.

The students will compare the three graphs obtained from the closed-form solution, Multisim computer simulation, and the physical circuit.

Matching results among these three graphs will reflect the accuracy of the differential equation-based mathematical modeling of electric circuits.

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