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Write the given linear system in matrix form. dr dt -3x + 4y + et sin(2t) dy 5x +9z +4et cos(2t) || dt dz # = y + 6z – e-t -3 4 0 et sin2t X' = 0 9 et cos2t 1 6 0 et -3 4 0 et sin2t X + et cos2t %3D 0. 1 6 e t -3 0 4 et sin2t 0. 59 X + et cos2t %3D 1 6 0 e-t -3 4 0 e-t sin2t X' = 0 9 X+ e-t cos2t %3D 1 6 et

Write the given linear system in matrix form. dr dt -3x + 4y + et sin(2t) dy 5x +9z +4et cos(2t) || dt dz # = y + 6z – e-t -3 4 0 et sin2t X' = 0 9 et cos2t 1 6 0 et -3 4 0 et sin2t X + et cos2t %3D 0. 1 6 e t -3 0 4 et sin2t 0. 59 X + et cos2t %3D 1 6 0 e-t -3 4 0 e-t sin2t X' = 0 9 X+ e-t cos2t %3D 1 6 et

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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Write the given linear system in matrix form. dx -3x+4y+ et sin(2t) dt dy = 5x + 9z + 4et cos(2t) dt dz =y+6z- e-t dt -3 4 0 e-t sin2t X' = 9. e-t cos2t 1 6 0 et -3 4 0 et sin2t X' = et cos2t 0 9 0 1 6 X+ %3D et -3 0 4 et sin2t X' = 0 5 9 X+ e-t cos2t 1 6 0 e-t e-t sin2t -3 4 0 5 0 9 0 1 6 X' = X+ et cos2t e t
Transcribed Image Text:Write the given linear system in matrix form. dx -3x+4y+ et sin(2t) dt dy = 5x + 9z + 4et cos(2t) dt dz =y+6z- e-t dt -3 4 0 e-t sin2t X' = 9. e-t cos2t 1 6 0 et -3 4 0 et sin2t X' = et cos2t 0 9 0 1 6 X+ %3D et -3 0 4 et sin2t X' = 0 5 9 X+ e-t cos2t 1 6 0 e-t e-t sin2t -3 4 0 5 0 9 0 1 6 X' = X+ et cos2t e t
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