Consider the autonomous differential equation 31-8 Critical Points Y= -2₁-1₁ 1₁2 dz f(u), where the graph of f is given below. dy Use the graph of f(s) to answer the following questions. No explanation is needed! (a) Locate the critical points (or equilibrium points) of the differential equation <= f(x) and sketch the phase portrait. dz A (b) On the phase portrait in part(b). label the equilibrium points of the differential equation as stable, unstable or semi-stable. (c) Sketch typical solution curves in the subregions in the ry-plane determined by the graphs of the equilibrium solutions.
Consider the autonomous differential equation 31-8 Critical Points Y= -2₁-1₁ 1₁2 dz f(u), where the graph of f is given below. dy Use the graph of f(s) to answer the following questions. No explanation is needed! (a) Locate the critical points (or equilibrium points) of the differential equation <= f(x) and sketch the phase portrait. dz A (b) On the phase portrait in part(b). label the equilibrium points of the differential equation as stable, unstable or semi-stable. (c) Sketch typical solution curves in the subregions in the ry-plane determined by the graphs of the equilibrium solutions.
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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