14. (6x3y + 2) dx - (2x - y - 1) dy = 0. ANS. 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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"Coefficients linear in the two variables " ASAP. Thank you. Please answer all the questions

14. (6x3y + 2) dx − (2x − y - 1) dy = 0.
15. (9x - 4y + 4) dx − (2x − y + 1) dy = 0.
ANS. y
16. (x + 3y − 4) dx + (x + 4y − 5) dy = 0.
-
ANS. 3xy + c = 5 ln |2x - y + 4.
1 = 3(y − 3x − 1) ln [c(3x − y + 1)].
-
-
ANS. y
17. (x + 2y − 1) dx − (2x + y − 5) dy = 0.
18. (x - 1) dx − (3x – 2y — 5) dy = 0.
1 = (x + 2y − 3) ln [c(x + 2y − 3)|.
ANS. (xy-4)³ = c(x + y − 2).
ANS. (2y x + 3)² = c(y - x + 2).
Transcribed Image Text:14. (6x3y + 2) dx − (2x − y - 1) dy = 0. 15. (9x - 4y + 4) dx − (2x − y + 1) dy = 0. ANS. y 16. (x + 3y − 4) dx + (x + 4y − 5) dy = 0. - ANS. 3xy + c = 5 ln |2x - y + 4. 1 = 3(y − 3x − 1) ln [c(3x − y + 1)]. - - ANS. y 17. (x + 2y − 1) dx − (2x + y − 5) dy = 0. 18. (x - 1) dx − (3x – 2y — 5) dy = 0. 1 = (x + 2y − 3) ln [c(x + 2y − 3)|. ANS. (xy-4)³ = c(x + y − 2). ANS. (2y x + 3)² = c(y - x + 2).
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