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Theorem The solution of the logisitic differential equation is See §4.4 for the derivation. dP dt P(t) = K Poke" (K-Po) + Poe Consider the logistic equation in the form P' = CP-p2. Solve the logistic equation for C= 10 and an initial condition of P(0) = 2. Write your answer as an expression in /. P(t) = 1

Theorem The solution of the logisitic differential equation is See §4.4 for the derivation. dP dt P(t) = K Poke" (K-Po) + Poe Consider the logistic equation in the form P' = CP-p2. Solve the logistic equation for C= 10 and an initial condition of P(0) = 2. Write your answer as an expression in /. P(t) = 1

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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Theorem The solution of the logisitic differential equation is See §4.4 for the derivation. dP dt P(t) = Poke" (K-Po) + Po Consider the logistic equation in the form P' = CP - P². Solve the logistic equation for C= 10 and an initial condition of P(0) 2. Write your answer as an expression in 1. = P(t) = 1
Transcribed Image Text:Theorem The solution of the logisitic differential equation is See §4.4 for the derivation. dP dt P(t) = Poke" (K-Po) + Po Consider the logistic equation in the form P' = CP - P². Solve the logistic equation for C= 10 and an initial condition of P(0) 2. Write your answer as an expression in 1. = P(t) = 1
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