×
Log in to StudySoup
Get Full Access to Calculus - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Calculus - Textbook Survival Guide

(a) Show that if depends only on the product xy, that is,

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

Solution for problem 15E Chapter 2.5

Fundamentals of Differential Equations | 8th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Fundamentals of Differential Equations | 8th Edition

4 5 1 281 Reviews
30
3
Problem 15E

(a) Show that if  depends only on the product xy, that is,

then the equation  has an integrating factor of the form µ (xy) Give the general formula for µ (xy).

(b) Use your answer to part (a) to find an implicit solution to

satisfying the initial condition y (1) = 1.

Step-by-Step Solution:

Step 1 :

In this problem we have to find the integrating factor.

Consider

and also given that  

Let be an integrating factor

Multiplying in equation (1)

This equation exact

Step 2 :

Then

Then

Step 3 :

.’.

This is the general form of the integrating factor.

Step 4 of 5

Chapter 2.5, Problem 15E is Solved
Step 5 of 5

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

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

(a) Show that if depends only on the product xy, that is,

×
Log in to StudySoup
Get Full Access to Calculus - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Calculus - Textbook Survival Guide
×
Reset your password