8. For the following nonlinear system, (a) find and classify all equilibrium points (b) Find the linearized system near each of the other equilibrium points. (c) Sketch the phase portrait of the linearized system near each equilibrium point (x' = x(x– 1) lv'= y(x² – y)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Please i need help with B and C.

 

8. For the following nonlinear system,
(a) find and classify all equilibrium points
(b) Find the linearized system near each of the other equilibrium points.
(c) Sketch the phase portrait of the linearized system near each equilibrium point
(x' = x(x– 1)
lv'= y(x² – y)
Transcribed Image Text:8. For the following nonlinear system, (a) find and classify all equilibrium points (b) Find the linearized system near each of the other equilibrium points. (c) Sketch the phase portrait of the linearized system near each equilibrium point (x' = x(x– 1) lv'= y(x² – y)
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