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x' = -2x +y x(0) = -2 y(0) = 2 y' = -5x + 4y %3D

x' = -2x +y x(0) = -2 y(0) = 2 y' = -5x + 4y %3D

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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which is the solution vector x(t)=(x(t))of differential equation system

                                                     (y(t))     

x' = -2x +y -5x+4y x(0) = -2 y(0) = 2 y' = %3D
Transcribed Image Text:x' = -2x +y -5x+4y x(0) = -2 y(0) = 2 y' = %3D
3e) - 30) e3t 3e-t X(t) = ( e-3t - 3et X(t) = (5e3t I. II. %3D 3e-t %3D 5e-3t 3et 30) -e3t 3e-t x() = ( e) -e-3t -3et -5e-3t 3et X(t) = ( III. IV. %3D %3D 5e3t 3e-t,
Transcribed Image Text:3e) - 30) e3t 3e-t X(t) = ( e-3t - 3et X(t) = (5e3t I. II. %3D 3e-t %3D 5e-3t 3et 30) -e3t 3e-t x() = ( e) -e-3t -3et -5e-3t 3et X(t) = ( III. IV. %3D %3D 5e3t 3e-t,
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