For the system below a. Find the equilibrium points. b. For the equilibrium point (0,50) find the associated linear system, solve it, and perform the qualitative analysis. :(-x-y + 100), -y²+2500) dx dt =X dy ·=y (-x²_ dt
For the system below a. Find the equilibrium points. b. For the equilibrium point (0,50) find the associated linear system, solve it, and perform the qualitative analysis. :(-x-y + 100), -y²+2500) dx dt =X dy ·=y (-x²_ dt
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 system below
a. Find the equilibrium points.
b. For the equilibrium point (0,50) find the associated linear system, solve it, and perform the qualitative analysis.
dx
dt
dy
=X
x (-x-y + 100), =y (−x² - y²+2500)
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fada09c83-8448-4738-8177-c552b181d001%2Fa5382600-f700-41c8-9b65-878417cebb61%2Fet72fjgq_processed.png&w=3840&q=75)
Transcribed Image Text:For
the system below
a. Find the equilibrium points.
b. For the equilibrium point (0,50) find the associated linear system, solve it, and perform the qualitative analysis.
dx
dt
dy
=X
x (-x-y + 100), =y (−x² - y²+2500)
dt
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