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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
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 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
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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