Consider the linear system : dz - 2z - 2y dt dy 2z +y with initial conditions z(0) = 0 and y(0) functions below. dt = 1. Solve this IVP and enter the formulas for the component %3D z(t) %3D y(t) %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the linear system :
dz
2x 2y
dt
dy
- 2x + y
%3D
dt
with initial conditions z(0) = 0 and y(0) = 1. Solve this IVP and enter the formulas for the component
%3D
%3D
functions below.
z(t) =
y(t) =
%3D
Transcribed Image Text:Consider the linear system : dz 2x 2y dt dy - 2x + y %3D dt with initial conditions z(0) = 0 and y(0) = 1. Solve this IVP and enter the formulas for the component %3D %3D functions below. z(t) = y(t) = %3D
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