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From the list below find the only differential equation that has both functions ₁(t) = e²t and y2 (t) = -2 e²t among its solutions. Oy" + 3y + 2y = 0 None of the options displayed. Oy" - 4y' + 3y = -e²t Oy" - 3y + 2y = 0 Oy" - 3y + 2y = e²t Oy" - 4y + 4y = e²t O” - 2 + y = e

From the list below find the only differential equation that has both functions ₁(t) = e²t and y2 (t) = -2 e²t among its solutions. Oy" + 3y + 2y = 0 None of the options displayed. Oy" - 4y' + 3y = -e²t Oy" - 3y + 2y = 0 Oy" - 3y + 2y = e²t Oy" - 4y + 4y = e²t O” - 2 + y = e

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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From the list below find the only differential equation that has both functions y₁(t) = e²t and y₂ (t) = and y2 (t) = -2 eta among its solutions. Oy" + 3y + 2y = 0 None of the options displayed. Oy" - 4y + 3y = - e²t Oy" - 3y + 2y = 0 y" - 3y + 2y = e²t y" - 4y + 4y = e²t y" - 2y + y = e2t Oy" - 4y + 3y = 2e²t y" + 4y + 4y = 0
Transcribed Image Text:From the list below find the only differential equation that has both functions y₁(t) = e²t and y₂ (t) = and y2 (t) = -2 eta among its solutions. Oy" + 3y + 2y = 0 None of the options displayed. Oy" - 4y + 3y = - e²t Oy" - 3y + 2y = 0 y" - 3y + 2y = e²t y" - 4y + 4y = e²t y" - 2y + y = e2t Oy" - 4y + 3y = 2e²t y" + 4y + 4y = 0
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