Determine whether the equation is exact. If it is, then solve it. 6x 2 (9)x dx- 8y- |dy = 0 Y
Determine whether the equation is exact. If it is, then solve it. 6x 2 (9)x dx- 8y- |dy = 0 Y
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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Question
![**Educational Text for Exact Differential Equation Problem**
**Problem Statement:**
Determine whether the equation is exact. If it is, then solve it.
\[
\left(\frac{6}{y}\right) dx - \left(8y - \frac{6x}{y^2}\right) dy = 0
\]
---
**Instructions:**
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
**Choices:**
- **A.** The equation is exact and an implicit solution in the form \( F(x, y) = C \) is \( \boxed{\phantom{x}} = C \), where \( C \) is an arbitrary constant. (Type an expression using \( x \) and \( y \) as the variables.)
- **B.** The equation is not exact.
**Graph/Diagram Explanation:**
No graphs or diagrams are present in this section.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1720cd77-2294-45a6-8b70-43447dc02920%2F726f2d1a-f123-42bb-9347-adcdf6d5fca2%2F4jbgfqd_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Text for Exact Differential Equation Problem**
**Problem Statement:**
Determine whether the equation is exact. If it is, then solve it.
\[
\left(\frac{6}{y}\right) dx - \left(8y - \frac{6x}{y^2}\right) dy = 0
\]
---
**Instructions:**
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
**Choices:**
- **A.** The equation is exact and an implicit solution in the form \( F(x, y) = C \) is \( \boxed{\phantom{x}} = C \), where \( C \) is an arbitrary constant. (Type an expression using \( x \) and \( y \) as the variables.)
- **B.** The equation is not exact.
**Graph/Diagram Explanation:**
No graphs or diagrams are present in this section.
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