Abstract

Citation

Researchers should cite this work as follows:

• Pennel, S. (2023). 2016-Pennell-Avitabile-White-Engineering Applications Differential Equations. SIMIODE, QUBES Educational Resources. doi:10.25334/A6XR-7839

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Article Context

Description

Pennell, Steve, Peter Avitabile, and John White.  2016. Physical Problem for Industrial Engineering - Ordinary Differential Equations

https://peer.asee.org/teaching-differential-equations-with-an-engineering-focus.pdf. Accessed 28 March 2023.

General discussion of an engineering based differential equations course with examples from RC Circuit, mass spring dashpot. There is an Appendix of problems as projects.

For example,

Formulation of the Model.

Use the following information to formulate an initial value problem modeling this circuit. Take T to be the independent variable and Q to be the dependent variable.

• Kirchoff's Second Law says that the sum of the voltage drops across the resistor and capacitor equals the applied voltage E.

• The voltage drop across the resistor equals RI.

• The voltage drop across the capacitor equals Q/C.

• I = dQ/dT.

• The charge on the capacitor is initially 0.

There is also a very nice discussion of nondimensionalization.

Key words: differential equation, model, circuit, nondimensionalization