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Black Book Advanced Problems in MathematicsMathematicsDifferential Equations

The differential equation dy dx = 1-y^2 y determines a family of circles with:

Options

  1. AVariable radii and fixed centre at (0, 1)
  2. BVariable radii and fixed centre at (0, -1)
  3. CFixed radius 1 and variable centres along x-axis
  4. DFixed radius 1 and variable centres along y-axis.

Correct answer

C. Fixed radius 1 and variable centres along x-axis

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