1. Consider the equation ODE dy dt y (1? – 9). %3D (a) Sketch the graph of dy as a function of y. dt (b) Draw the phase line and sketch several graphs of solutions in the ty-plane. (c) State the equilibrium solutions and determine their stability.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4. Consider the equation ODE
= y°(y? – 9).
dt
(a) Sketch the graph of
dy
as a function of y.
dt
(b) Draw the phase line and sketch several graphs of solutions in the ty-plane.
(c) State the equilibrium solutions and determine their stability.
Transcribed Image Text:4. Consider the equation ODE = y°(y? – 9). dt (a) Sketch the graph of dy as a function of y. dt (b) Draw the phase line and sketch several graphs of solutions in the ty-plane. (c) State the equilibrium solutions and determine their stability.
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