Verify that the given differential equation is exact; then solve it. (3x2y3 + y4) dx + (3x³y² + y² + 4xy³) dy = 0 (e sin y + tan y) dx + (e' cos y + x sec² y) dy = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Q4 Solve exactly i need exact soloution and plz solve it with neat and clean handwriting plz
4. Verify that the given differential equation is exact; then solve it.
(3x²y3 + y4) dx + (3x³y2 + y4 + 4xy³) dy = 0
(e* sin y + tan y) dx + (e cos y + x sec² y) dy = 0
Transcribed Image Text:4. Verify that the given differential equation is exact; then solve it. (3x²y3 + y4) dx + (3x³y2 + y4 + 4xy³) dy = 0 (e* sin y + tan y) dx + (e cos y + x sec² y) dy = 0
Expert Solution
steps

Step by step

Solved in 3 steps

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,