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Black Book Advanced Problems in MathematicsMathematicsDifferential Equations

If a curve is such that line joining origin to any point P(x, y) on the curve and the line parallel to y-axis through P are equally inclined to tangent to curve at P , then the differential equation of the curve is:

Options

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

Correct answer

A. x ( dy dx )^2 - 2y dy dx = x

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