Find the general solution to y (t) = Ay(t), where A = -2 0. -2t y(t) = = C1 -e2t None of the given choices sint - Co5 2t y(t) = C1 + C2 Cos t sin 2t - sin 2t Cos 2t y(t) =C1 cos 2t + Cz sin 2t sin 2t - cos 2t y(t) = c1 +c2 cos 2t sin 2t

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
Find the general solution to
y (t) = Ay(t),
where
A =
-2
0.
-2t
y(t) =
= C1
-e2t
None of the given choices
sint
- Co5 2t
y(t) = C1
+ C2
Cost
sin 2t
- sin 2t
Cos 2t
y(t) = C1
Cos 2t
+ Cz
sin 2t
sin 2t
- Cos 2t
y(t) = C1
+c2
cos 2t
sin 2t
Transcribed Image Text:Find the general solution to y (t) = Ay(t), where A = -2 0. -2t y(t) = = C1 -e2t None of the given choices sint - Co5 2t y(t) = C1 + C2 Cost sin 2t - sin 2t Cos 2t y(t) = C1 Cos 2t + Cz sin 2t sin 2t - Cos 2t y(t) = C1 +c2 cos 2t sin 2t
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