Question:
The solution of \( \frac{dy}{dx} = \frac{x^2 + y^2 + 1}{2xy} \), satisfying \( y(1) = 0 \), is given by?
The solution of \( \frac{dy}{dx} = \frac{x^2 + y^2 + 1}{2xy} \), satisfying \( y(1) = 0 \), is given by?
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The general form of a differential equation involving both \( x^2 \) and \( y^2 \) can lead to a hyperbolic curve.
Updated On: Jan 12, 2026
- hyperbola
- ellipse
- circle
- parabola
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The Correct Option is A
Solution and Explanation
The given differential equation resembles the standard form of the equation of a hyperbola when solved using the method of separation of variables or a suitable substitution.
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