6. (2x³y² + 4x2y + 2xy² + xy + 2y) dx + 2(y + x²y + x) dy = 0 ans. (2x³y² + 4xy + y) exp (x²) = c
6. (2x³y² + 4x2y + 2xy² + xy + 2y) dx + 2(y + x²y + x) dy = 0 ans. (2x³y² + 4xy + y) exp (x²) = c
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
Please answer the last three items. 6-8 only
Transcribed Image Text:Chapter III. Additional Topics on t
PROBLEM SETS
Obtain the general solution.
2015
dy-0
Equations of Order Or
6. (2x³y² + 4x²y + 2xy² + xy + 2y) dx
+ 2(y + x²y + x) dy = 0
ans. (2x³y² + 4xy + y^) exp (x²) = c
7. (x² + y² + x) dx + xy dy = 0
ans. x² (3x² + 4x + 6y²) = c
8. [2xy exp(y) + 2xy + y) dx
+ [x²y'exp(y)-x²y²-3x) dy = 0
ans. x²y³ exp(y) + x³y² + x = cy³
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