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Is it possible for a non-autonomous equation = f(x,y) to have an equilibrium (i.e.: constant)? If not, explain. If so, give an example.

Is it possible for a non-autonomous equation = f(x,y) to have an equilibrium (i.e.: constant)? If not, explain. If so, give an example.

Calculus For The Life Sciences
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
Problem 16CR
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(2 POINTS) Is it possible for a non-autonomous equation = f(x, y) to have an equilibrium solution y yo (i.e.: constant)? If not, explain. If so, give an example.
Transcribed Image Text:(2 POINTS) Is it possible for a non-autonomous equation = f(x, y) to have an equilibrium solution y yo (i.e.: constant)? If not, explain. If so, give an example.
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Is it possible for a non-autonomous equation dy/dx = f(x,y) to have an equilibrium
solution y = yo (i.e.: constant)? If not, explain. 

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