5- dy/dt = y²(y+1)(y-3), -∞

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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Phase Line Diagrams. Problems 1 through 7 involve equations of the form dy/dt = f(y). In each
problem, sketch the graph of f(y) versus y, determine the critical (equilibrium) points, and classify each
one as asymptotically stable or unstable. Draw the phase line, and sketch several graphs of solutions in the
ty-plane.
Transcribed Image Text:Phase Line Diagrams. Problems 1 through 7 involve equations of the form dy/dt = f(y). In each problem, sketch the graph of f(y) versus y, determine the critical (equilibrium) points, and classify each one as asymptotically stable or unstable. Draw the phase line, and sketch several graphs of solutions in the ty-plane.
5. dy/dt = y²(y + 1)(y - 3), -∞ < Yo<∞
Transcribed Image Text:5. dy/dt = y²(y + 1)(y - 3), -∞ < Yo<∞
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