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AP EAMCET202319 May 2023Morning ShiftMathematicsDifferential EquationsActual

The differential equation y^2 d x+(2 x y-1) d y=0 is

Options

  1. Alinear in y
  2. Bnot a linear equation
  3. Ca homogenous equation
  4. Dlinear in x

Correct answer

D. linear in x

Step-by-step solution

aligned & y^2 d x+(2 x y-1) d y=0 & d x d y + 2 x y - 1 y^2 =0 & d x d y + ( 2 y ) x= 1 y^2 aligned Which of the form d x d y +P x=Q Hence given equation is linear in x .

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