Evaluate y" - 2y' + 5y = 0 y (0) =1, y'(0) =3 Select the correct response: y = e^t cos 2t + e^t sin 2 t y = e^t sin 2t + e^(-t) sin 2 t none of the choices y = e^(-t) cos 2t + e^t sin 2 t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Evaluate
y" - 2y' + 5y = 0 y (0) =1, y'(0) =3
Select the correct response:
y = e^t cos 2t + e^t sin 2 t
y = e^t sin 2t + e^(-1) sin 2 t
O none of the choices
y = e^(-t) cos 2t + e^t sin 2 t
y = e^t sin 2t + e^(-t)t sin 2t
Transcribed Image Text:Evaluate y" - 2y' + 5y = 0 y (0) =1, y'(0) =3 Select the correct response: y = e^t cos 2t + e^t sin 2 t y = e^t sin 2t + e^(-1) sin 2 t O none of the choices y = e^(-t) cos 2t + e^t sin 2 t y = e^t sin 2t + e^(-t)t sin 2t
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