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1. Answer the following questions about the population P of a species. (a) Find P(t) given that dP dt = 0.08P 1- P 1000 and P(0) = 100. (b) Graph the differential equation. (c) Graph P(t), using both the differential equation and the solution equation to explain the shape of the graph of P(t).

1. Answer the following questions about the population P of a species. (a) Find P(t) given that dP dt = 0.08P 1- P 1000 and P(0) = 100. (b) Graph the differential equation. (c) Graph P(t), using both the differential equation and the solution equation to explain the shape of the graph of P(t).

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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1. Answer the following questions about the population P of a species. (a) Find P(t) given that dP dt = 1.08P (1-1000 and P(0) = 100. (b) Graph the differential equation. (c) Graph P(t), using both the differential equation and the solution equation to explain the shape of the graph of P(t).
Transcribed Image Text:1. Answer the following questions about the population P of a species. (a) Find P(t) given that dP dt = 1.08P (1-1000 and P(0) = 100. (b) Graph the differential equation. (c) Graph P(t), using both the differential equation and the solution equation to explain the shape of the graph of P(t).
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