Some Examples of Ordinary Differential Equations with Missing x or y

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This Demonstration solves ordinary differential equations of the forms and by introducing a new variable .


In the first case, the procedure is as follows: , , , .

In the second case: , , , . In both cases a solution is given in parametric form: , .


Contributed by: Izidor Hafner (May 2014)
Open content licensed under CC BY-NC-SA




[1] L. E. Eljsgoljc, Differential Equations and Variational Calculus (in Russian), Moscow: Nauka, 1969 pp. 69–71.

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