Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
n m Find an integrating factor of the form x"y" and solve the equation. (2y²-12xy)dx +(4xy-12x²)dy = 0 An implicit solution in the form F(x,y) = C is = C, where C is an arbitrary constant, and multiplying by the integrating factor. (Type an expression using x and y as the variables.) by

n m Find an integrating factor of the form x"y" and solve the equation. (2y²-12xy)dx +(4xy-12x²)dy = 0 An implicit solution in the form F(x,y) = C is = C, where C is an arbitrary constant, and multiplying by the integrating factor. (Type an expression using x and y as the variables.) by

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
n m Find an integrating factor of the form x^y" and solve the equation. (2y²-12xy)dx + (4xy - 12x²)dy=0 An implicit solution in the form F(x,y) = C is = C, where C is an arbitrary constant, and multiplying by the integrating factor. (Type an expression using x and y as the variables.) no solutions were lost the solution y = 0 was lost the solution x = 0 was lost by
Transcribed Image Text:n m Find an integrating factor of the form x^y" and solve the equation. (2y²-12xy)dx + (4xy - 12x²)dy=0 An implicit solution in the form F(x,y) = C is = C, where C is an arbitrary constant, and multiplying by the integrating factor. (Type an expression using x and y as the variables.) no solutions were lost the solution y = 0 was lost the solution x = 0 was lost by
Expert Solution
Step 1

Given 

(2y2-12xy)dx +(4xy-12x2) dy =0

compare to Mdx+Ndy=0

Here

M=2y2-12xy∂M∂y=4y-12xN=4xy-12x2∂N∂x=4y-24xTherefore,∂M∂y≠∂N∂xThe given Differential equation is not exact.

steps

Step by step

Solved in 4 steps

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