Classroom note: Variations in the solution of linear first-order differential equations

Abstract

A special project which can be given to students of ordinary differential equations is described in detail. Students create new differential equations by changing the dependent variable in the familiar linear first-order equation (dv/dx) + p(x)v = q(x) by means of a substitution v = f(y). The student then creates a table of the new equations and describes how they are solved. Applications are also given.

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Additional information

Notes on contributors

Thomas J. Osler *

* The author to whom correspondence should be addressed.