4. The system 2 = -y - r has an isolated equilibrium point at (0,0). (a) Use the Jacobian to produce a linearization of the system near the equilibrium point (0,0). What type of equilibrium point is predicted by the linearlization? (b) Use pplane or a numerical solver to plot the phase portrait of the system. Sketch a sample trajectory. (c) Does the prediction from part (a) match the sketch in part (b). If not, explain why. (Hint: it doesn't).

4. The system 2 = -y - r has an isolated equilibrium point at (0,0). (a) Use the Jacobian to produce a linearization of the system near the equilibrium point (0,0). What type of equilibrium point is predicted by the linearlization? (b) Use pplane or a numerical solver to plot the phase portrait of the system. Sketch a sample trajectory. (c) Does the prediction from part (a) match the sketch in part (b). If not, explain why. (Hint: it doesn't).

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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