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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Consider the following differential equation. 4y" + 2y' - 2y = 0 Exercise (a) For what values of r does the function y = ex satisfy the equation? Click here to begin! Exercise (b) If ri and r2 are the values of r that you found In part (a), show that every member of the family of functions y = ae'1x + be2x is also a solution. Click here to begin!

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Consider the following differential equation. 4y" + 2y' - 2y = 0 Exercise (a) For what values of r does the function y = ex satisfy the equation? Click here to begin! Exercise (b) If ri and r2 are the values of r that you found In part (a), show that every member of the family of functions y = ae'1x + be2x is also a solution. Click here to begin!

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Consider the following differential equation. 4y" + 2y' - 2y = 0 Exercise (a) For what values of r does the function y = ex satisfy the equation? Click here to begin! Exercise (b) If ri and r2 are the values of r that you found In part (a), show that every member of the family of functions y = ae'1x + be2x is also a solution. Click here to begin!
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Consider the following differential equation. 4y" + 2y' - 2y = 0 Exercise (a) For what values of r does the function y = ex satisfy the equation? Click here to begin! Exercise (b) If ri and r2 are the values of r that you found In part (a), show that every member of the family of functions y = ae'1x + be2x is also a solution. Click here to begin!
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