Determine whether the equation is exact. If it is, then solve it. бу cos (ху) + dx + |6x сos (ху) — Зу 9. dy =0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The equation is exact and an implicit solution in the form F(x,y) = C is =C, where C is an arbitrary const O A. (Type an expression using x and y as the variables.) O B. The equation is not exact.
Determine whether the equation is exact. If it is, then solve it. бу cos (ху) + dx + |6x сos (ху) — Зу 9. dy =0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The equation is exact and an implicit solution in the form F(x,y) = C is =C, where C is an arbitrary const O A. (Type an expression using x and y as the variables.) O B. The equation is not exact.
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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![Determine whether the equation is exact. If it is, then solve it.
\[
\left[ 6y \cos(xy) + \frac{5}{\sqrt{1-x^2}} \right] dx + \left[ 6x \cos(xy) - 3y - \frac{1}{9} \right] dy = 0
\]
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 \(\_\_\_\), where \( C \) is an arbitrary constant.
- (Type an expression using \( x \) and \( y \) as the variables.)
- B. The equation is not exact.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02c9694f-8959-437e-bd84-546c9a464c26%2F393280f9-3f18-49b0-942b-693ff13a0617%2F9ieiodl_processed.png&w=3840&q=75)
Transcribed Image Text:Determine whether the equation is exact. If it is, then solve it.
\[
\left[ 6y \cos(xy) + \frac{5}{\sqrt{1-x^2}} \right] dx + \left[ 6x \cos(xy) - 3y - \frac{1}{9} \right] dy = 0
\]
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 \(\_\_\_\), where \( C \) is an arbitrary constant.
- (Type an expression using \( x \) and \( y \) as the variables.)
- B. The equation is not exact.
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