Consider the system dx dy 1+3y, dt -1– 5x? dt a) Find all the critical points (equilibrium solutions). Number of critical points: Critical point 1: (-1,–21) Critical point 2: (1,-21)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the system
dx
= 1+3y,
dt
dy
1- 5x?
dt
a) Find all the critical points (equilibrium solutions).
Number of critical points: 2
Critical point 1: (-1,-21)
Critical point 2: (1, -21)
Transcribed Image Text:Consider the system dx = 1+3y, dt dy 1- 5x? dt a) Find all the critical points (equilibrium solutions). Number of critical points: 2 Critical point 1: (-1,-21) Critical point 2: (1, -21)
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