Question:
The differential equation of the rectangular hyperbola, where axes are the asymptotes of the hyperbola, is?
The differential equation of the rectangular hyperbola, where axes are the asymptotes of the hyperbola, is?
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The differential equation of a rectangular hyperbola has the form \( \frac{dy}{dx} = y \), derived from the equation \( xy = c \).
Updated On: Jan 12, 2026
- \( \frac{dy}{dx} = x \)
- \( \frac{dy}{dx} = y \)
- \( \frac{dy}{dx} = y^2 \)
- \( \frac{dy}{dx} = x^2 \)
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The Correct Option is B
Solution and Explanation
The rectangular hyperbola is represented by the equation \( xy = c \), and its differential equation can be derived by differentiating this equation. The resulting differential equation is \( \frac{dy}{dx} = y \).
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