Explanation Given: The initial value problem is e y d x − e − x d y = 0 , y ( 0 ) = 0 . Procedure used: Use variable separable method to solve given initial value problem. Calculation: Separate the variables of given initial value problem. e y d x − e − x d y = 0 e y d x = 1 e x d y e x d x = e − y d y (1) Integrate the above equation both sides. ∫ e x d x = ∫ e − y d y e x = e − y − 1 + C − e x + C = e − y (2) Here, constant of integration is C .take log both sides

6th Edition

ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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Differential Equations

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Chapter 2.2, Problem 33E

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To find: An explicit solution of given initial value problem and exact interval of definition by analytical method. Also plot the graph of the solution using graphing utility.

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Chapter 2.2, Problem 32E

Chapter 2.2, Problem 34E

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An explicit solution of given initial value problem and exact interval of definition by analytical method. Also plot the graph of the solution using graphing utility.

Solution Summary: The author explains how to find an explicit solution of given initial value problem and exact interval of definition by analytical method, and plot the graph of the solution using graphing utility.

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To find: An explicit solution of given initial value problem and exact interval of definition by analytical method. Also plot the graph of the solution using graphing utility.

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Chapter 2 Solutions