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Use variation of parameters to solve the given nonhomogeneous system. x- (: *+(2 cos(21n) sin(2t) e2t 2 cos(2t) X' = 1 3t x(t) = c, (cos(2t),2 sin(21))e + c,(sin(2t), – 2 cos (21)) e³r + (-ecos(4t)cos(21) – esin (4)sin (2t

Use variation of parameters to solve the given nonhomogeneous system. x- (: *+(2 cos(21n) sin(2t) e2t 2 cos(2t) X' = 1 3t x(t) = c, (cos(2t),2 sin(21))e + c,(sin(2t), – 2 cos (21)) e³r + (-ecos(4t)cos(21) – esin (4)sin (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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Use variation of parameters to solve the given nonhomogeneous system. 2 X' = 4 -1 X + 2 sin(2t) e2t 2 cos(2t), 1 3t 1 3t X(t) = c(cos(2t),2 sin( 2t))e“ + c,(sin(2t), – 2 cos(2t)) e³t + (-je"cos(4 )cos( 2:) – esin(4:) sin(2t 'sin (4t) sin (2t
Transcribed Image Text:Use variation of parameters to solve the given nonhomogeneous system. 2 X' = 4 -1 X + 2 sin(2t) e2t 2 cos(2t), 1 3t 1 3t X(t) = c(cos(2t),2 sin( 2t))e“ + c,(sin(2t), – 2 cos(2t)) e³t + (-je"cos(4 )cos( 2:) – esin(4:) sin(2t 'sin (4t) sin (2t
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