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Separable differential equations Find the general solution

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 24E Chapter 7.8

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 24E

Separable differential equations Find the general solution of the following equations.

, where y > 0

Step-by-Step Solution:

Problem 24E

Separable differential equations Find the general solution of the following equations.

, where y > 0

Answer;

    Step 1;

                 DEFINITION : A differential equation is said to be of type “variable separable” if it can be expressed in such  a way , so that the coefficient of  dx is a function of of x alone and the coefficient of dy is a function of y alone.

       The general form of such differential  equation can be written as

                         

                                          f(x) dx = g(y)dy ……………….(1)

   Integrating both sides and adding an arbitrary constant C , we get the general solution as

                                              f(x)dx = +C

Working  rule of solving by the method of separation of variables;

  1. Write the  given  differential equation in the form

                                                    f(x) dx = g(y)dy

          That is make the coefficient of dx as an expression of x alone and that of dy as an expression of y alone

    2. Integrate  both sides and add an arbitrary constant to any one side and get the general solution.

Step 2 of 3

Chapter 7.8, Problem 24E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Since the solution to 24E from 7.8 chapter was answered, more than 268 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: equations, general, Find, Differential, separable. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The answer to “Separable differential equations Find the general solution of the following equations. , where y > 0” is broken down into a number of easy to follow steps, and 16 words. The full step-by-step solution to problem: 24E from chapter: 7.8 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

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