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Choose all correct terms that form the basis of the general solution for the following higher order ODE y" + 2y" - y - 2y = 0 where cn is an arbitrary constant.

Choose all correct terms that form the basis of the general solution for the following higher order ODE y" + 2y" - y - 2y = 0 where cn is an arbitrary constant.

Advanced Engineering Mathematics
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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Choose all correct terms that form the basis of the general solution for the following higher order ODE y" + 2y"-y-2y = 0 where Cn is an arbitrary constant. 0 -- Cn et 1 -#- Cn 1 et 1 -6- Cn -1 e-t 0 0 Cn Cn 1 -2 4 Cn H None 1 H 4 e-t -2t P -2 е -2t Choose all solutions that form a basis for the initial value problem y₁ = 2y1 + 2y2 y2 = 5y1 - y2 et + 2e-3t None 2e-4t-2e-3t 2e 4t +5e³t 2e4t - e-3t 2e¹-2e-t 2e4t +5e-3t 2 3₁ (0)= 0, y2 (0) = 7
Transcribed Image Text:Choose all correct terms that form the basis of the general solution for the following higher order ODE y" + 2y"-y-2y = 0 where Cn is an arbitrary constant. 0 -- Cn et 1 -#- Cn 1 et 1 -6- Cn -1 e-t 0 0 Cn Cn 1 -2 4 Cn H None 1 H 4 e-t -2t P -2 е -2t Choose all solutions that form a basis for the initial value problem y₁ = 2y1 + 2y2 y2 = 5y1 - y2 et + 2e-3t None 2e-4t-2e-3t 2e 4t +5e³t 2e4t - e-3t 2e¹-2e-t 2e4t +5e-3t 2 3₁ (0)= 0, y2 (0) = 7
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