'ind the general solution for the following differential equations: a) (1– xy+x²y²) dx + (xy³ – x²) dy = 0 | b) (x+y) dx + (3x + 3y – 4) dy = 0 (c) (3x² + y²) dy – 2xy dy = 0 d) a sin 0 d0 + (x³ – 2x2 cos 0) dx = 0 (e) x dy - [y+ xy³ (1+ ln a)] dx = 0 |
'ind the general solution for the following differential equations: a) (1– xy+x²y²) dx + (xy³ – x²) dy = 0 | b) (x+y) dx + (3x + 3y – 4) dy = 0 (c) (3x² + y²) dy – 2xy dy = 0 d) a sin 0 d0 + (x³ – 2x2 cos 0) dx = 0 (e) x dy - [y+ xy³ (1+ ln a)] dx = 0 |
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a, b and c only
![Find the general solution for the following differential equations:
(a) (1– xy+x?y²) dx + (xy³ – x²) dy = 0
(b) (x+y) dx + (3x + 3y – 4) dy = 0
(c) (3x² + y²) dy – 2xy dy = 0
(d) x sin 0 de + (x³ – 2x² cos 0) dx = 0
|
(e) x dy – [y + xy°(1+ln x)] dx = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08c538d7-35bf-47b8-b661-bcb11303d667%2Fc5bd00b7-3397-4a23-bb73-656efcdb29e2%2Fiu8e45o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the general solution for the following differential equations:
(a) (1– xy+x?y²) dx + (xy³ – x²) dy = 0
(b) (x+y) dx + (3x + 3y – 4) dy = 0
(c) (3x² + y²) dy – 2xy dy = 0
(d) x sin 0 de + (x³ – 2x² cos 0) dx = 0
|
(e) x dy – [y + xy°(1+ln x)] dx = 0
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