Determine whether the given differential equation is exact, if it is exact , solve it. + 1) + y = 3 (x- - 1 | | y dx
Determine whether the given differential equation is exact, if it is exact , solve it. + 1) + y = 3 (x- - 1 | | y dx
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 given differential equation is exact, if it is exact, solve it.**
\[
\left(x - \frac{3}{y} + 1\right) \frac{dy}{dx} + y = \frac{3}{x} - 1
\]
This problem involves checking the exactness of a differential equation and solving it if it is exact. The equation is presented in the following form:
- Left-hand side: \(\left(x - \frac{3}{y} + 1\right) \frac{dy}{dx} + y\)
- Right-hand side: \(\frac{3}{x} - 1\)
The task involves determining if the differential equation is exact. If it is, you should proceed with finding a solution.
**Upload Section:**
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Transcribed Image Text:**Determine whether the given differential equation is exact, if it is exact, solve it.**
\[
\left(x - \frac{3}{y} + 1\right) \frac{dy}{dx} + y = \frac{3}{x} - 1
\]
This problem involves checking the exactness of a differential equation and solving it if it is exact. The equation is presented in the following form:
- Left-hand side: \(\left(x - \frac{3}{y} + 1\right) \frac{dy}{dx} + y\)
- Right-hand side: \(\frac{3}{x} - 1\)
The task involves determining if the differential equation is exact. If it is, you should proceed with finding a solution.
**Upload Section:**
- A button labeled "Choose a File" is present to upload the solution or related work.
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