The differential equation d y d x = 1-y^ 2 y determines a family of circles with

Mathematics · JEE Main · NTA Exams — Differential Equations

1. variable radii and a fixed centre at (0, 1)
2. variable radii and a fixed centre at (0, -1)
3. fixed radius 1 and variable centres along the x-axis
4. fixed radius 1 and variable centres along the y-axis

Answer

(C) fixed radius 1 and variable centres along the x-axis

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