For each of the following equations, find the most general function N(x,y) so that the equation is exact. (a) [9y sin (3xy) + e*]dx + N(x,y)dy = 0 (b) [yexy-8x²y +5]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.) A. 9x sin (3xy) + g(y), where g(y) is an arbitrary function of y. O B. +h(x), where h(x) is an arbitrary function of x. (b) 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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
icon
Related questions
Question
100%

solve question (b) please

For each of the following equations, find the most general function N(x,y) so that the equation is exact.
(a) [9y sin (3xy) + e*]dx + N(x,y)dy = 0
(b) [yexy - 8x²y +5]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.)
A. 9x sin (3xy) + g(y), where g(y) is an arbitrary function of y.
B. +h(x), where h(x) is an arbitrary function of x.
(b) 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.
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 (3xy) + e*]dx + N(x,y)dy = 0 (b) [yexy - 8x²y +5]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.) A. 9x sin (3xy) + g(y), where g(y) is an arbitrary function of y. B. +h(x), where h(x) is an arbitrary function of x. (b) 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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University