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MHT CET202122 Sep 2021Evening ShiftMathematicsDifferential EquationsActual

The differential equation of all parabolas having vertex at the origin and axis along positive Y -axis is

Options

  1. Ax^2 d y d x -y=0
  2. Bx d y d x +2 y=0
  3. Cx d y d x +y=0
  4. D2 x d y d x -y=0

Correct answer

D. 2 x d y d x -y=0

Step-by-step solution

We have y^2=4 a x aligned & 2 y d y d x =4 a a= ( y 2 ) d y d x & y^2=4 ( y 2 ) ( d y d x ) x y^2=2 x y d y d x & 2 x d y d x -y=0 aligned

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