7. Given a DE: y" + 2y' - 8y = 0 and a solution of the form y = ex for some (unknown) constant "r". Is this a solution for some r? If so, find all such r. a. No, there are no "r" values found b. Yes, but no "r" values found c. Yes, r=-4 and r = 2 d. Yes, r=4 and r=-2

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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7. Given a DE: y" + 2y - By = 0 and a solution of the
form y = ex for some (unknown) constant "r". Is this a
solution for some r? If so, find all such r.
a. No, there are no "r" values found
Yes, but no "r" values found
c. Yes, r=-4 and r = 2
b.
d. Yes, r=4 and r=-2
Transcribed Image Text:7. Given a DE: y" + 2y - By = 0 and a solution of the form y = ex for some (unknown) constant "r". Is this a solution for some r? If so, find all such r. a. No, there are no "r" values found Yes, but no "r" values found c. Yes, r=-4 and r = 2 b. d. Yes, r=4 and r=-2
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