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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d01a12a-1ab5-4b5b-8ac9-ffcff6df37dc%2F5169e609-b60c-48dc-8e58-e95541a4315e%2Funqh1r_processed.jpeg&w=3840&q=75)
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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