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Consider the logistic equation (a) Find the solution satisfying y₁ (0) = 10 and y₂ (0) = -5. y₁ (t) = y₂ (t) = (b) Find the time t when y₁ (t) = 5. t = (c) When does y₂ (t) become infinite? t = y = y(1 - y)

Consider the logistic equation (a) Find the solution satisfying y₁ (0) = 10 and y₂ (0) = -5. y₁ (t) = y₂ (t) = (b) Find the time t when y₁ (t) = 5. t = (c) When does y₂ (t) become infinite? t = y = y(1 - y)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the logistic equation (a) Find the solution satisfying y₁ (0) = 10 and y₂ (0) = −5. y₁ (t) = y₂(t) = (b) Find the time t when y₁ (t) = 5. t = (c) When does y₂ (t) become infinite? t = y = y(1-y)
Transcribed Image Text:Consider the logistic equation (a) Find the solution satisfying y₁ (0) = 10 and y₂ (0) = −5. y₁ (t) = y₂(t) = (b) Find the time t when y₁ (t) = 5. t = (c) When does y₂ (t) become infinite? t = y = y(1-y)
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