Explanation Given: x d y d x − y = 1 Formula used: ∫ x n d x = x n + 1 n + 1 + c ………… (1) ∫ 1 x d x = ln x + c …………… (2) ln x + ln y = ln ( x × y ) ............. (3) Calculation: Consider the equation x d y d x − y = 1 ⇒ x d y d x = y + 1

4th Edition

ISBN: 9781319055844

Author: FRANZOSA

Publisher: VST

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Separation of variables.

Solution Summary: The author concludes that y = c x 1 is a solution to the problem of separation of variables.

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Separation of variables.