Question:
The particular solution of the differential equation
\[
(1 + y^2) \, dx - xy \, dy = 0, \quad y(1) = 0 \quad \text{represents:}
\]
The particular solution of the differential equation
\[
(1 + y^2) \, dx - xy \, dy = 0, \quad y(1) = 0 \quad \text{represents:}
\]
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To solve differential equations involving initial conditions, apply standard methods of solving such equations, and analyze the form of the solution.
Updated On: May 15, 2025
- a circle
- a part of parabola
- a part of ellipse
- a part of hyperbola
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The Correct Option is D
Solution and Explanation
We are given a first-order differential equation and initial conditions. By solving this equation, we find that the solution represents a part of a hyperbola.
Thus, the correct answer is option (4).
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