The differential equation d y d x = 1-y^ 2 y determines a family of circles with
Mathematics · JEE Advanced · NTA Exams — Differential Equations
The differential equation \(\frac{d y}{d x}=\frac{\sqrt{1-y^{2}}}{y}\) determines a family of circles with
- variable radii and a fixed centre at (0, 1)
- variable radii and fixed centre at (0, –1)
- fixed radius 1 and variable centres along the x-axis
- fixed radius 1 and variable centres along the y-axis.
Answer
(D) fixed radius 1 and variable centres along the y -axis.
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