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find the general solution of the given system: X' = ()X 11 -3 OX = c (2 cos(2t)+2 sin(2t)e-2t (2 cos(2t)-2 sin(2t) sin(2t) + c2 (° %3D -2t OX = = c1 (cos(2t)+sin(2t) 2 cos(2t) (cos(2t)-sin(2t)* 2 sin(2t) O X = c1 (cos(21)-sin(2t))e-2t + cs cos(2t) cos(2t)+sin(2t) sin(2t) %3D -2t OX = c (2 e-t+ c, (2 cos(2t)+2 sin(2t) sin(2t) cos(2t)-2 sin(2t)) cos(2t)

find the general solution of the given system: X' = ()X 11 -3 OX = c (2 cos(2t)+2 sin(2t)e-2t (2 cos(2t)-2 sin(2t) sin(2t) + c2 (° %3D -2t OX = = c1 (cos(2t)+sin(2t) 2 cos(2t) (cos(2t)-sin(2t)* 2 sin(2t) O X = c1 (cos(21)-sin(2t))e-2t + cs cos(2t) cos(2t)+sin(2t) sin(2t) %3D -2t OX = c (2 e-t+ c, (2 cos(2t)+2 sin(2t) sin(2t) cos(2t)-2 sin(2t)) cos(2t)

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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15) Please help with following multiple choice ASAP!

find the general solution of the given system: X' = ()x 1 O X = c1 (2 cos(21) +2 sin (2))e-2t + c2 (20 cos(2t) cos(2t)-2 sin(2t) -2t sin(24)2)e O X = c1 )et +c2 (cos(2t)+sin(2t)* 2 cos(2t) (cos(2t)-sin(2t)) 2 sin(2t) O X = c1 (cos(2t)-sin(2t))e-2t + c2 cos(2t) cos(2t)+sin(2t))e-2t sin(2t) O X = c1 (2 cos(24)–2 sin(2t))e-t + c, (2 cos(2t)+2 sin(2t)) e-t cos(2t) sin(2t)
Transcribed Image Text:find the general solution of the given system: X' = ()x 1 O X = c1 (2 cos(21) +2 sin (2))e-2t + c2 (20 cos(2t) cos(2t)-2 sin(2t) -2t sin(24)2)e O X = c1 )et +c2 (cos(2t)+sin(2t)* 2 cos(2t) (cos(2t)-sin(2t)) 2 sin(2t) O X = c1 (cos(2t)-sin(2t))e-2t + c2 cos(2t) cos(2t)+sin(2t))e-2t sin(2t) O X = c1 (2 cos(24)–2 sin(2t))e-t + c, (2 cos(2t)+2 sin(2t)) e-t cos(2t) sin(2t)
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