Verify that the given differential equation is not exact. (x² + 2xy - y2) dx + (y2 + 2xy - x2) dy = 0 If the given DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has My Solve. = Nx = Since My and Nx---Select--- equal, the equation is not exact. I Multiply the given differential equation by the integrating factor u(x, y) = (x + y)-2 and verify that the new equation is exact. If the new DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has My = Nx = Since My and Nx---Select--- equal, the equation is
Verify that the given differential equation is not exact. (x² + 2xy - y2) dx + (y2 + 2xy - x2) dy = 0 If the given DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has My Solve. = Nx = Since My and Nx---Select--- equal, the equation is not exact. I Multiply the given differential equation by the integrating factor u(x, y) = (x + y)-2 and verify that the new equation is exact. If the new DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has My = Nx = Since My and Nx---Select--- equal, the equation is
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Verify that the given differential equation is not exact.
(x² + 2xy - y2) dx + (y2+ 2xy - x²) dy = 0
If the given DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has
My
Solve.
=
Nx =
Since My and Nx---Select--- equal, the equation is not exact.
Multiply the given differential equation by the integrating factor u(x, y) (x + y)-2 and verify that the new equation is exact.
If the new DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has
My =
Nx =
Since My and Nx ---Select--- equal, the equation is
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
