For the following system: dx/dt = −(y/4) dy/dt = x − x3 (a) Find equilibrium point(s) of the system. (b) Sketch one graph that is corresponding functions, x(t) and y(t) vs t.
For the following system: dx/dt = −(y/4) dy/dt = x − x3 (a) Find equilibrium point(s) of the system. (b) Sketch one graph that is corresponding functions, x(t) and y(t) vs t.
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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Question
For the following system:
dx/dt = −(y/4)
dy/dt = x − x3
(a) Find equilibrium point(s) of the system.
(b) Sketch one graph that is corresponding functions, x(t) and y(t) vs t.
![dx
dt
4
dy
x – x³
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63140e6a-27b4-407a-8c17-f5e47dba5c1f%2F3cefe585-dad9-4c6e-b642-2021644e79ff%2F63hmg3f_processed.png&w=3840&q=75)
Transcribed Image Text:dx
dt
4
dy
x – x³
dt
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