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 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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