Let y(x) = Cerx, where C and r are real numbers, be a

Chapter 6, Problem 32E

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QUESTION:

Let y(x) = Cerx, where C and r are real numbers, be a solution to a differential equation. Suppose we cannot determine r exactly but can only approximate it by Let (a) If r and r are positive, show that the error grows exponentially large as x approaches (b) If r and r are negative, show that the error goes to zero exponentially as x approaches

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QUESTION:

Let y(x) = Cerx, where C and r are real numbers, be a solution to a differential equation. Suppose we cannot determine r exactly but can only approximate it by Let (a) If r and r are positive, show that the error grows exponentially large as x approaches (b) If r and r are negative, show that the error goes to zero exponentially as x approaches

ANSWER:

Solution:Step 1:In this problem, we need to show that the error grows exponentially large as x approaches

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