Determine whether the equation is exact. If it is, then solve it. (2xy + 2)dx + (x - 4) 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 = C, where C is an arbitrary constant. (Type an expression using x and y as the variables.) B. The equation is not exact.
Determine whether the equation is exact. If it is, then solve it. (2xy + 2)dx + (x - 4) 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 = C, where C is an arbitrary constant. (Type an expression using x and y as the variables.) 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.**
\[
(2xy + 2)dx + \left(x^2 - 4\right)dy = 0
\]
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 \(\underline{\hspace{1cm}}\) \(= C\), 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%2Ffe1f05bf-68bb-4bcf-9c45-0a3ffae9d9dc%2Fqb6mjla_processed.png&w=3840&q=75)
Transcribed Image Text:**Determine whether the equation is exact. If it is, then solve it.**
\[
(2xy + 2)dx + \left(x^2 - 4\right)dy = 0
\]
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 \(\underline{\hspace{1cm}}\) \(= C\), 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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