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Determine whether the equation is exact. If it is, then solve it. 5 √ TESTET JOC [ X 200 1 dx -x² 9y cos (xy) + 9x cos (xy) - 5y |dy = 0

Determine whether the equation is exact. If it is, then solve it. 5 √ TESTET JOC [ X 200 1 dx -x² 9y cos (xy) + 9x cos (xy) - 5y |dy = 0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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...
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--- ### Determine if the Equation is Exact and Solve #### Problem Statement: Determine whether the following differential equation is exact. If it is, then solve it. \[ \left[ 9y \cos(xy) + \frac{5}{\sqrt{1 - x^2}} \right] dx + \left[ 9x \cos(xy) - 5y - \frac{1}{3} \right] dy = 0 \] --- #### Instructions for Solution: Select the correct choice below and, if necessary, fill in the answer box to complete your choice. **A.** The equation is exact and an implicit solution in the form \( F(x,y) = C \) is \[ \quad \boxed{\phantom{some\; expression}} = C \] where \( C \) is an arbitrary constant. (Type an expression using \( x \) and \( y \) as the variables.) ---
Transcribed Image Text:--- ### Determine if the Equation is Exact and Solve #### Problem Statement: Determine whether the following differential equation is exact. If it is, then solve it. \[ \left[ 9y \cos(xy) + \frac{5}{\sqrt{1 - x^2}} \right] dx + \left[ 9x \cos(xy) - 5y - \frac{1}{3} \right] dy = 0 \] --- #### Instructions for Solution: Select the correct choice below and, if necessary, fill in the answer box to complete your choice. **A.** The equation is exact and an implicit solution in the form \( F(x,y) = C \) is \[ \quad \boxed{\phantom{some\; expression}} = C \] where \( C \) is an arbitrary constant. (Type an expression using \( x \) and \( y \) as the variables.) ---
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