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ERIC Number: EJ857946
Record Type: Journal
Publication Date: 2009
Pages: 4
Abstractor: As Provided
Reference Count: 5
ISSN: ISSN-0020-739X
A Simple Method to Find out when an Ordinary Differential Equation Is Separable
Cid, Jose Angel
International Journal of Mathematical Education in Science and Technology, v40 n5 p659-662 2009
We present an alternative method to that of Scott (D. Scott, "When is an ordinary differential equation separable?", "Amer. Math. Monthly" 92 (1985), pp. 422-423) to teach the students how to discover whether a differential equation y[prime] = f(x,y) is separable or not when the nonlinearity f(x, y) is not explicitly factorized. Our approach is completely elementary and provides a necessary and sufficient condition for separability, as well as simple formulas for the explicit factors of f(x, y).
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A