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Differential Equations and Linear Algebra | 3rd Edition | ISBN: 9780136054252 | Authors: C. Henry Edwards, David E. Penney
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Solution: In , first verify that y (x) satisfies the given

Chapter 1, Problem 22P

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QUESTION:

Problem 22P

In Problems, first verify that y (x) satisfies the given differential equation. Then determine a value of the constant C so that y(x) satisfies the given initial condition. Use a computer or graphing calculator (if desired) to sketch several typical solutions of the given differential equation, and highlight the one that satisfies the given initial condition.

eyy′ = 1; y(x) = ln(x + C), y(0) = 0

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QUESTION:

Problem 22P

In Problems, first verify that y (x) satisfies the given differential equation. Then determine a value of the constant C so that y(x) satisfies the given initial condition. Use a computer or graphing calculator (if desired) to sketch several typical solutions of the given differential equation, and highlight the one that satisfies the given initial condition.

eyy′ = 1; y(x) = ln(x + C), y(0) = 0

ANSWER:

Solution

Step 1 of 3

In this problem, we have to verify that the given function is a solution of the given differential equation.

Given differential equation . . . . . (1)

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