In this problem, y = 1/(1+c₁ex) is a one-parameter family of solutions of the first-order DE y' = y - y². Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. y(0) = y =

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 14CR
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In this problem, y = 1/(1+c₁e¯X) is a one-parameter family of solutions of the first-order DE y' = y - y². Find a solution of the first-order IVP consisting of this differential equation and the given initial condition.
y(0) = -
1
y =
Transcribed Image Text:In this problem, y = 1/(1+c₁e¯X) is a one-parameter family of solutions of the first-order DE y' = y - y². Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. y(0) = - 1 y =
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,