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(Exact solution of logistic equation) There are two ways to solve the logis- equation Ñ =rN(1– N/K) analytically for an arbitrary initial condition

(Exact solution of logistic equation) There are two ways to solve the logis- equation Ñ =rN(1– N/K) analytically for an arbitrary initial condition

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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2.3.1 (Exact solution of logistic equation) There are two ways to solve the logis- analytically for an arbitrary initial condition tic equation N=rN(1-N/K) No.
Transcribed Image Text:2.3.1 (Exact solution of logistic equation) There are two ways to solve the logis- analytically for an arbitrary initial condition tic equation N=rN(1-N/K) No.
a) Separate variables and integrate, using partial fractions.
Transcribed Image Text:a) Separate variables and integrate, using partial fractions.
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Introduction:

Separable differential equations are differential equations in which the variables are independent of one another. When the variables x and y can be separated from one another, dy/dx = f(x) g(y) is a general form to construct separable differential equations.

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