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Differential Equations 00 | 4th Edition | ISBN: 9780495561989 | Authors: Paul (Paul Blanchard) Blanchard, Robert L. Devaney, Glen R. Hall
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Consider the differential equation dy dt = y3 y2 12y. (a)

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QUESTION:

Consider the differential equation dy dt = y3 y2 12y. (a) For what values of y is y(t) in equilibrium? (b) For what values of y is y(t) increasing? (c) For what values of y is y(t) decreasing? In Exercises 610, we consider the phenomenon of radioactive decay which, from experimentation, we know behaves according to the law: The rate at which a quantity of a radioactive isotope decays is proportional to the amount of the isotope present. The proportionality constant depends only on which radioactive isotope is used.

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QUESTION:

Consider the differential equation dy dt = y3 y2 12y. (a) For what values of y is y(t) in equilibrium? (b) For what values of y is y(t) increasing? (c) For what values of y is y(t) decreasing? In Exercises 610, we consider the phenomenon of radioactive decay which, from experimentation, we know behaves according to the law: The rate at which a quantity of a radioactive isotope decays is proportional to the amount of the isotope present. The proportionality constant depends only on which radioactive isotope is used.

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The given differential equation is

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