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AP EAMCET202421 May 2024Morning ShiftMathematicsDifferential EquationsActual

The solution of differential equation (x+2 y^3 ) d y d x =y is

Options

  1. Ax=y(2 x y+c)
  2. Bx=y (y^2+c )
  3. Cy=x (x^2+c )
  4. Dx y= y^4 2 +c

Correct answer

B. x=y (y^2+c )

Step-by-step solution

aligned & (x+2 y^3 ) d y d x =y d x d y = x+2 y^3 y & d x d y - x y =2 y^2 ; I.F. =e^ -1 y d y = 1 y aligned Solution: x y = 2 y d y+c x=y (y^2+c )

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