Find the general solution of the system z' = x – 2y, y' = 2x + y. (3) +이(1)~ X = C1 + c2 est -sin(2t) est cos(2t) cos (2t) X = c1 et + c2 -sin(2t), O none of these -cos(2t) -sin(2t) -sin(2t) et X = c1 et + c2 -cos(2t) X = C1 cos (2t) (-sin(2t) et + c2 et X = C1 + C2 e3t X = c1 -2 e2t et + o

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the general solution of the system z' = x – 2y, y' = 2x + y.
(3) +이(1)~
X = c1
+ c2
est
cos(2t)
-sin(2t),
-sin(2t)
e3t
X = c1
et + c2
cos(2t)
O none of these
X = c1
et + C2
et
sin(2t)
cos (2t)
sin(2t)
- sin(2t)
et
X = c1
et + C2
().
X = c1
+ c2
e3t
X= c1
et +o
-2
e2t
Transcribed Image Text:Find the general solution of the system z' = x – 2y, y' = 2x + y. (3) +이(1)~ X = c1 + c2 est cos(2t) -sin(2t), -sin(2t) e3t X = c1 et + c2 cos(2t) O none of these X = c1 et + C2 et sin(2t) cos (2t) sin(2t) - sin(2t) et X = c1 et + C2 (). X = c1 + c2 e3t X= c1 et +o -2 e2t
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