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

Chapter 1, Problem 19P

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QUESTION:

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.y? = y + 1; y(x) = Cex ? 1, y(0) = 5

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QUESTION:

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.y? = y + 1; y(x) = Cex ? 1, y(0) = 5

ANSWER:

Solution:Step 1 of 4:In this problem, we need to verify that satisfies the given differential equation.Then we need to determine a value of the constant C so that y(x) satisfies the given initial condition, and then use a computer or graphing calculator to sketch several typical solutions of the given differential equation, and highlight the one that satisfies the given initial condition.

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