The differential equation can be written in differential form: y − 4y³ = (y² + 2x)y' M(x, y) dx+N(x, y) dy = 0 where M(x, y) = N(x, y) = -☐ help (formulas), and = help (formulas) The term M(x, y) dx + N(x, y) dy becomes an exact differential if the left hand side above is divided by y³. Integrating that new equation, the solution of the differential equation is = constant. help (formulas) Book: Section 1.8 of Notes on Diffy Qs
The differential equation can be written in differential form: y − 4y³ = (y² + 2x)y' M(x, y) dx+N(x, y) dy = 0 where M(x, y) = N(x, y) = -☐ help (formulas), and = help (formulas) The term M(x, y) dx + N(x, y) dy becomes an exact differential if the left hand side above is divided by y³. Integrating that new equation, the solution of the differential equation is = constant. help (formulas) Book: Section 1.8 of Notes on Diffy Qs
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:The differential equation
can be written in differential form:
y − 4y³ = (y² + 2x)y'
M(x, y) dx+N(x, y) dy = 0
where
M(x, y) =
N(x, y)
=
-☐
help (formulas), and
=
help (formulas)
The term M(x, y) dx + N(x, y) dy becomes an exact differential if the left hand side above is divided by y³.
Integrating that new equation, the solution of the differential equation is
=
constant. help (formulas)
Book: Section 1.8 of Notes on Diffy Qs
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 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,
