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dt Draw a phase portrait and sketch typical solution curves. Use your solution curves t term behavior of y(t) for each of the following given initial conditions. If the answer ∞ or -∞ as appropriate. If y(0) = -1, then as t increases y(t) approaches If y(0) = 0, then as t increases y(t) approaches If y(0) = 2, then as t increases y(t) approaches

dt Draw a phase portrait and sketch typical solution curves. Use your solution curves t term behavior of y(t) for each of the following given initial conditions. If the answer ∞ or -∞ as appropriate. If y(0) = -1, then as t increases y(t) approaches If y(0) = 0, then as t increases y(t) approaches If y(0) = 2, then as t increases y(t) approaches

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 12CR
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Consider the differential equation dy dt = 12y - 3y². Draw a phase portrait and sketch typical solution curves. Use your solution curves to find the long- term behavior of y(t) for each of the following given initial conditions. If the answer is infinite, enter ∞ or -∞ as appropriate. If y(0) = -1, then as t increases y(t) approaches If y(0) = 0, then as t increases y(t) approaches If y(0) = 2, then as t increases y(t) approaches Submit Question If y(0) = 4, then as t increases y(t) approaches If y(0) = 6, then as t increases y(t) approaches
Transcribed Image Text:Consider the differential equation dy dt = 12y - 3y². Draw a phase portrait and sketch typical solution curves. Use your solution curves to find the long- term behavior of y(t) for each of the following given initial conditions. If the answer is infinite, enter ∞ or -∞ as appropriate. If y(0) = -1, then as t increases y(t) approaches If y(0) = 0, then as t increases y(t) approaches If y(0) = 2, then as t increases y(t) approaches Submit Question If y(0) = 4, then as t increases y(t) approaches If y(0) = 6, then as t increases y(t) approaches
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