Find the values of the constant r so that y = e™* satisfies the differential equation 2y" + y' — у %3D 0
Find the values of the constant r so that y = e™* satisfies the differential equation 2y" + y' — у %3D 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Question d)** Find the values of the constant \( r \) so that \( y = e^{rx} \) satisfies the differential equation
\[ 2y'' + y' - y = 0 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe717a37b-52ce-496b-b2d4-43f70cd05efd%2F31a17dc0-378e-40db-a452-cd5861810b89%2Fyyeu4nu.png&w=3840&q=75)
Transcribed Image Text:**Question d)** Find the values of the constant \( r \) so that \( y = e^{rx} \) satisfies the differential equation
\[ 2y'' + y' - y = 0 \]
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