Consider the following differential equation: dy/dx= y^3-y^2-6y (a) ( (b)/ (c). y(0) = 4. 3) Find all equilibrium solutions of this differential equation. Draw a phase portrait of this differential equation. *On the same set of axes, sketch the solution curves to the initial conditions y(0) =-3,y(0) =-1,y(0) = 1, and
Consider the following differential equation: dy/dx= y^3-y^2-6y (a) ( (b)/ (c). y(0) = 4. 3) Find all equilibrium solutions of this differential equation. Draw a phase portrait of this differential equation. *On the same set of axes, sketch the solution curves to the initial conditions y(0) =-3,y(0) =-1,y(0) = 1, and
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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Transcribed Image Text:Consider the following differential equation:
dy/dx= y^3-y^2-6y
(a) (
(b)/
(c).
y(0) = 4.
3) Find all equilibrium solutions of this differential equation.
Draw a phase portrait of this differential equation.
On the same set of axes, sketch the solution curves to the initial conditions y(0) =-3,y(0) =-1,y(0) = 1, and
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