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Consider the linear system dx = -2x + dt dy dt (a) Determine the type of the equilibrium point at the origin. (b) Calculate all straight-line solutions.

Consider the linear system dx = -2x + dt dy dt (a) Determine the type of the equilibrium point at the origin. (b) Calculate all straight-line solutions.

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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Consider the linear system:


dx/dt = −2x + (1/2)y
dy/dt = −y


(a) Determine the type of the equilibrium point at the origin.
(b) Calculate all straight-line solutions.

1. Consider the linear system dx = -2x + dt dy :-y dt (a) Determine the type of the equilibrium point at the origin. (b) Calculate all straight-line solutions.
Transcribed Image Text:1. Consider the linear system dx = -2x + dt dy :-y dt (a) Determine the type of the equilibrium point at the origin. (b) Calculate all straight-line solutions.
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