For each of the following equations, find the most general function N(x,y) so that the equation is exact. (a) [9y sin (5xy) + e*]dx + N(x,y)dy = 0 8vy 6
For each of the following equations, find the most general function N(x,y) so that the equation is exact. (a) [9y sin (5xy) + e*]dx + N(x,y)dy = 0 8vy 6
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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![For each of the following equations, find the most general function N(x,y) so that the equation is exact.
(a) [9y sin (5xy) + e*]dx + N(x,y)dy = 0
(b) [ye 8xy
6
- 4x³y +1]d
dx + N(x,y)dy = 0
(a) Select the correct choice below and fill in the answer box to complete your choice.
(Type an expression using x and y as the variables.)
O A.
+ h(x), where h(x) is an arbitrary function of x.
O B.
+ g(y), where g(y) is an arbitrary function of y.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1720cd77-2294-45a6-8b70-43447dc02920%2F373dad61-f01a-4815-ab47-4fa4e24220d8%2Fuhjr90f_processed.png&w=3840&q=75)
Transcribed Image Text:For each of the following equations, find the most general function N(x,y) so that the equation is exact.
(a) [9y sin (5xy) + e*]dx + N(x,y)dy = 0
(b) [ye 8xy
6
- 4x³y +1]d
dx + N(x,y)dy = 0
(a) Select the correct choice below and fill in the answer box to complete your choice.
(Type an expression using x and y as the variables.)
O A.
+ h(x), where h(x) is an arbitrary function of x.
O B.
+ g(y), where g(y) is an arbitrary function of y.
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