Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
In this problem we consider an equation in differential form M dx + N dy = 0. The equation (6x + 4x'y²) dx + (6x² - + 3)dy = 0 in differential form M dx + Ñ dy = 0 is not exact. Indeed, we have M, - N, = For this exercise we can find an integrating factor which is a function of y alone since M, - N, is a function of y alone. Namely we have (y) = Multiplying the original equation by the integrating factor we obtain a new equation M dx + N dy = 0 where M = N = Which is exact since M, N = are equal. This problem is exact. Therefore an implicit general solution can be written in the form F(x, y) = C where F(x, y) =

In this problem we consider an equation in differential form M dx + N dy = 0. The equation (6x + 4x'y²) dx + (6x² - + 3)dy = 0 in differential form M dx + Ñ dy = 0 is not exact. Indeed, we have M, - N, = For this exercise we can find an integrating factor which is a function of y alone since M, - N, is a function of y alone. Namely we have (y) = Multiplying the original equation by the integrating factor we obtain a new equation M dx + N dy = 0 where M = N = Which is exact since M, N = are equal. This problem is exact. Therefore an implicit general solution can be written in the form F(x, y) = C where F(x, y) =

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
See similar textbooks
icon
Related questions
Question
100%
In this problem we consider an equation in differential form M dx + N dy = 0. The equation (6x + 4x'y2) dx + (6x² - + 3)dy = 0 y in differential form M dx + Ñ dy = 0 is not exact. Indeed, we have M, - N, = For this exercise we can find an integrating factor which is a function of y alone since M,- N, M is a function of y alone. Namely we have u(y) =| Multiplying the original equation by the integrating factor we obtain a new equation M dx + N dy = 0 where M = N = Which is exact since M, = N = are equal. This problem is exact. Therefore an implicit general solution can be written in the form F(x, y) = C where F(x, y) =
Transcribed Image Text:In this problem we consider an equation in differential form M dx + N dy = 0. The equation (6x + 4x'y2) dx + (6x² - + 3)dy = 0 y in differential form M dx + Ñ dy = 0 is not exact. Indeed, we have M, - N, = For this exercise we can find an integrating factor which is a function of y alone since M,- N, M is a function of y alone. Namely we have u(y) =| Multiplying the original equation by the integrating factor we obtain a new equation M dx + N dy = 0 where M = N = Which is exact since M, = N = are equal. This problem is exact. Therefore an implicit general solution can be written in the form F(x, y) = C where F(x, y) =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS