Explanation Using Separation of Variables, separate x and y terms and integrate to obtain the solution. Given: y y ' = x Calculation: Given y y ' = x Thus, y d y = x d x Integrating on both sides yields ∫ y d y = ∫ x d x = >

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 10.1, Problem 23E

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Chapter 10.1, Problem 22E

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The general solution using Separation of Variables

Solution Summary: The author explains how to determine the general solution using Separation of Variables: y = x 2 + A where A is a constant.

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