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Find the logistic equation that satisfies the initial condition. dy dt 11y (0, 44) 20 1440 Use the logistic equation to find y when t = 5 and t = 100. Step 1 Rewrite the logistic differential equation = dy dt Hence, Thus, dy 11 dt 20 k= 11 1- 20 720 y X and L = $$ 11y 20 dy in the general form of logistic differential equation = ky 1- 1440 dt with initial condition y(0) = 44.

Find the logistic equation that satisfies the initial condition. dy dt 11y (0, 44) 20 1440 Use the logistic equation to find y when t = 5 and t = 100. Step 1 Rewrite the logistic differential equation = dy dt Hence, Thus, dy 11 dt 20 k= 11 1- 20 720 y X and L = $$ 11y 20 dy in the general form of logistic differential equation = ky 1- 1440 dt with initial condition y(0) = 44.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the logistic equation that satisfies the initial condition. dy 11y y² 20 1440 (0, 44) dt Use the logistic equation to find y when t Step 1 Rewrite the logistic differential equation Hence, Thus, dy 11 dt 20 k= 11 20 720 y = 5 and t = 100. dy dt X - and L= $$ 11y 20 1440 in the general form of logistic differential equation with initial condition y(0) = 44. x. dy dt = ky(1 - Z).
Transcribed Image Text:Find the logistic equation that satisfies the initial condition. dy 11y y² 20 1440 (0, 44) dt Use the logistic equation to find y when t Step 1 Rewrite the logistic differential equation Hence, Thus, dy 11 dt 20 k= 11 20 720 y = 5 and t = 100. dy dt X - and L= $$ 11y 20 1440 in the general form of logistic differential equation with initial condition y(0) = 44. x. dy dt = ky(1 - Z).
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