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MHT CET202613 April 2026Evening ShiftMathematicsDifferential EquationsActual

The differential equation of 3y = [3] x+c is

Options

  1. Ady dx = 1 9y^2
  2. Bdy dx = 1 27y^2
  3. Cdy dx = 1 81y^2
  4. Ddy dx = 1 36y^2

Correct answer

C. dy dx = 1 81y^2

Step-by-step solution

Given equation is 3y = [3] x+c Cubing both sides, we get: 27y^3 = x + c Differentiating both sides with respect to x : 27 3y^2 dy dx = 1 81y^2 dy dx = 1 dy dx = 1 81y^2 Answer: dy dx = 1 81y^2

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