dy = ky fits this population growth, express the dt A recent report by a country's census predicts that the population will increase from 29.6 million in 2000 to 118.6 million in 2050. Assuming the unlimited growth model population y as a function of the year t. Let 2000 correspond to t = 0. dy The solution to the differential equation dt (Type an exact answer in terms of e) = ky, with an initial condition of y(0) = Yo and constant k is y =.

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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dy
A recent report by a country's census predicts that the population will increase from 29.6 million in 2000 to 118.6 million in 2050. Assuming the unlimited growth model
= ky fits this population growth, express the
dt
population y as a function of the year t. Let 2000 correspond to t= 0.
dy
The solution to the differential equation
= ky, with an initial condition of y(0) = yo and constant k is y =.
dt
(Type an exact answer in terms of e.)
Transcribed Image Text:dy A recent report by a country's census predicts that the population will increase from 29.6 million in 2000 to 118.6 million in 2050. Assuming the unlimited growth model = ky fits this population growth, express the dt population y as a function of the year t. Let 2000 correspond to t= 0. dy The solution to the differential equation = ky, with an initial condition of y(0) = yo and constant k is y =. dt (Type an exact answer in terms of e.)
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