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Let y(x) = Cerx, where C and r are real numbers, be a
Chapter 6, Problem 32E(choose chapter or problem)
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
Questions & Answers
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