Autonomous Analysis For the first-order autonomous equations in Problems, complete the following. (a) Sketch qualitative solution graphs.
Question:
(a) Sketch qualitative solution graphs.
(b) Highlight the equilibrium points of the equation and draw phase-line arrows along the y-axis indicating the increasing or decreasing behavior of the solution y = y (t). Classify their stability behavior.
1. y' = y2
2. y' = -y(1-y)
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1 a y y 2 b One semistable equilibrium at y t 0 is ...View the full answer
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Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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