Consider the following linear system of differential equations: x² = x + z y = x + y z' = -2x - z
Consider the following linear system of differential equations: x² = x + z y = x + y z' = -2x - z
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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Using the following system of Linear Differential Equations:
Transcribed Image Text:Consider the following linear system of differential equations:
= x + z
x'
x²
y' = x + y
z'
2' = -2x - 2
(a) (2 points) Write this system in matrix vector form.
sin(t)
-sin(t)-cos(t) is a solution of
- sin(t) + cos(t)
(b) (4 points) Show that X(t)
=
this system of differential equations.
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