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Integrating Factors of Ordinary Differential Equations of the Second Order: A Geometrical Interpretation

Published online by Cambridge University Press:  03 November 2016

H. Wallis Chapman
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Extract

A Well-Known method of integrating the simple differential equation of the second order

y″ + k 2 y = 0 .....1.1

consists in multiplying by an integrating factor 2y′ and integrating directly, when we obtain

y′2 + k 2 y 2 = k 2 a 2, .....1.2

where a is an arbitrary constant.

Information

Type
Research Article
Information
The Mathematical Gazette , Volume 27 , Issue 276 , October 1943 , pp. 159 - 165
Copyright
Copyright © Mathematical Association 1943

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