Problem 7 For the following equation, sketch the graph of fly) versus y, determine the critical (equilibrium) points, and classify each one as asymptotically stable, unstable, or semistable. Draw the phase line, and sketch several graphs of solutions in the ty-plane. dy/dt = y?(y² – 4), -00 < yo < 0

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.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 30E
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Problem 7
For the following equation, sketch the graph of fy) versus y, determine the critical
(equilibrium) points, and classify each one as asymptotically stable, unstable, or semistable.
Draw the phase line, and sketch several graphs of solutions in the ty-plane.
dy/dt = y²(y² – 4),
-00 < yo < a0
Transcribed Image Text:Problem 7 For the following equation, sketch the graph of fy) versus y, determine the critical (equilibrium) points, and classify each one as asymptotically stable, unstable, or semistable. Draw the phase line, and sketch several graphs of solutions in the ty-plane. dy/dt = y²(y² – 4), -00 < yo < a0
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Pearson Addison Wesley,