https://file.aiquickdraw.com/mathbot/file/1728865052534a58gr2ug.jpg

The equation in the image is:

\[
\frac{dy}{dx} = \frac{\sqrt{x^2 - y^2} + y}{x}
\]

This represents a first-order differential equation. To solve or analyze this equation, various methods such as separation of variables, substitution, or numerical techniques might be applicable depending on the context.

Would you like to solve this equation analytically, explore a specific aspect, or need help understanding the structure?

Here are some further topics you might be interested in:
1. How to solve this differential equation step by step?
2. Could this equation have an implicit solution?
3. What happens to the solution as \( x \to 0 \) or \( y \to 0 \)?
4. What substitution techniques could simplify this equation?
5. How do numerical methods solve such an equation?

**Tip**: Always check the domain of the function involved in a square root to ensure real-valued solutions!

Explore how to solve the first-order differential equation dy/dx = (√(x² - y²) + y) / x, including key concepts from calculus and methods such as substitution and numerical techniques. Suitable for college-level calculus students.

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