×
Log in to StudySoup
Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 2.6 - Problem 12e
Join StudySoup for FREE
Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 2.6 - Problem 12e

Already have an account? Login here
×
Reset your password

Solution: Use the method discussed under “Homogeneous

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

Solution for problem 12E Chapter 2.6

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 1 239 Reviews
11
1
Problem 12E

Use the method discussed under “Homogeneous Equations” to solve 9–16.

Step-by-Step Solution:
Step 1 of 3

Solution:Step-1:In this problem we need to solve the homogeneous differential equation .Step-2:Given equation is :.Homogeneous equation definition: If the right hand side of the equation can be expressed as a function of the ratio alone , then we say the equation is homogeneous.Now the given equation can be expressed as, ……..(1)Therefore, the given equation is a homogeneous equation.Step-3:Substitute y = vx , then differentiate on both sides with respect to x we get:, since and ………..(2)From (1) and (2) we get. .Now it is in variable separable formStep-4:Integrating on both sides we get.Multiply both sides with 3 we get., since , where c is any constant. , since ln(a/b) = ln(a)-ln(b). , where is any constant .step-5:Therefore, the solution of the differential equation is .

Step 2 of 3

Chapter 2.6, Problem 12E is Solved
Step 3 of 3

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

Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This full solution covers the following key subjects: discussed, equations, homogeneous, method, under. This expansive textbook survival guide covers 67 chapters, and 2118 solutions. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Since the solution to 12E from 2.6 chapter was answered, more than 291 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 12E from chapter: 2.6 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. The answer to “Use the method discussed under “Homogeneous Equations” to solve 9–16.” is broken down into a number of easy to follow steps, and 10 words.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Solution: Use the method discussed under “Homogeneous