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For the following system: dx dt dy = x – x* dt (a) Find equilibrium point(s) of the system.

For the following system: dx dt dy = x – x* dt (a) Find equilibrium point(s) of the system.

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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For the following system: dx %3D 4 dt dy dt (a) Find equilibrium point(s) of the system. (b) (0, 1). Sketch the solution curve in the given phase plane with initial condition 2.0 1.5 1.0 0.5 0.0 -0.5 -1.0 -1.5 -2.0 -20 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 20 (c) Sketch one graph that is corresponding functions, x(t) and y(t) vs t.
Transcribed Image Text:For the following system: dx %3D 4 dt dy dt (a) Find equilibrium point(s) of the system. (b) (0, 1). Sketch the solution curve in the given phase plane with initial condition 2.0 1.5 1.0 0.5 0.0 -0.5 -1.0 -1.5 -2.0 -20 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 20 (c) Sketch one graph that is corresponding functions, x(t) and y(t) vs t.
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