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In 1–12, a differential equation is given along | Ch 1.1 - 8E

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider ISBN: 9780321747730 43

Solution for problem 8E Chapter 1.1

Fundamentals of Differential Equations | 8th Edition

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Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Fundamentals of Differential Equations | 8th Edition

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Problem 8E

Problem 8E

Problem

In Problems 1–12, a differential equation is given along with the field or problem area in which it arises. Classify each as an ordinary differential equation (ODE) or a partial differential equation (PDE), give the order, and indicate the independent and dependent variables. If the equation is an ordinary differential equation, indicate whether the equation is linear or nonlinear.

 = kp (P - P), where k and P are constants

(logistic curve, epidemiology, economics)

Step-by-Step Solution:

Solution :

Step 1 :

In this problem we have to explain the properties of logistic curve, epidemiology, economics.

Given equation is

where k and p are constant.

This equation contain only one derivative so it as ordinary differential equation.

And also it contain only one derivative( so it as first order.

In this equation independent variable is t,

And dependent variable is p.

This is nonlinear equation.

Hence this equation is nonlinear first order ordinary differential equation.  

Step 2 of 1

Chapter 1.1, Problem 8E is Solved
Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Since the solution to 8E from 1.1 chapter was answered, more than 303 students have viewed the full step-by-step answer. The answer to “In 1–12, a differential equation is given along with the field or problem area in which it arises. Classify each as an ordinary differential equation (ODE) or a partial differential equation (PDE), give the order, and indicate the independent and dependent variables. If the equation is an ordinary differential equation, indicate whether the equation is linear or nonlinear. = kp (P - P), where k and P are constants(logistic curve, epidemiology, economics)” is broken down into a number of easy to follow steps, and 72 words. The full step-by-step solution to problem: 8E from chapter: 1.1 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This full solution covers the following key subjects: equation, Differential, Ordinary, indicate, given. This expansive textbook survival guide covers 67 chapters, and 2118 solutions.

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In 1–12, a differential equation is given along | Ch 1.1 - 8E