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Black Book Advanced Problems in MathematicsMathematicsDifferential Equations

The differential equation of the family of curves cy^2 = 2x + c (where c is an arbitrary constant) is:

Options

  1. Ax dy dx = 1
  2. B( dy dx )^2 = 2x dy dx + 1
  3. Cy^2 = 2xy dy dx + 1
  4. Dy^2 = 2y dy dx + 1 .

Correct answer

C. y^2 = 2xy dy dx + 1

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