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10) consider the system x'=-3x+y, y'=2x-y-sx² a) Find all stationary points b) Find the jacobian matrix at each stationary point. e) classify the type and stability stability of each stationary do sketch the phase-plane portrait of system near each stationary points. Indicate the direction of all orbits with arrows

10) consider the system x'=-3x+y, y'=2x-y-sx² a) Find all stationary points b) Find the jacobian matrix at each stationary point. e) classify the type and stability stability of each stationary do sketch the phase-plane portrait of system near each stationary points. Indicate the direction of all orbits with arrows

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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link as a function of time intial value problem that gov of salt in the first tank and cand into a drain al 6 likers, om the first into a drain at' per hour from the second inl stirred brines flows from th *²=Ax 10) consider the system x'=-3x+y, y'=2x-y-5x² the 411 a) Find all stationary points b) Find the jacobian matrix at each stationary. of each stationary. c) classify the type and stability d) sketch the phase-plane portralt of system near each stationary points. Indicate the direction of all orbits with arrows 11 1.4 grams per liter flows into How? Now? thow? second contains 40 17 += 1 brine (salt water. Att point. Rafsun Ma
Transcribed Image Text:link as a function of time intial value problem that gov of salt in the first tank and cand into a drain al 6 likers, om the first into a drain at' per hour from the second inl stirred brines flows from th *²=Ax 10) consider the system x'=-3x+y, y'=2x-y-5x² the 411 a) Find all stationary points b) Find the jacobian matrix at each stationary. of each stationary. c) classify the type and stability d) sketch the phase-plane portralt of system near each stationary points. Indicate the direction of all orbits with arrows 11 1.4 grams per liter flows into How? Now? thow? second contains 40 17 += 1 brine (salt water. Att point. Rafsun Ma
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