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AP EAMCET202317 May 2023Morning ShiftMathematicsDifferential EquationsActual

Which one of the following is a homogeneous differential equation?

Options

  1. Ad y d x =x^3+( x) y
  2. Bd y d x = (x^3+y^3 ) e^ x y +x y
  3. C(x^2+y^2 ) d x=2 x y d y
  4. Dx d y d x =y+e^ x y

Correct answer

C. (x^2+y^2 ) d x=2 x y d y

Step-by-step solution

Degree of each term in the differential equation (x^2+y^2 ) d x=2 x y dy is same (equal to 2 ). (x^2+y^2 ) dx =2 x y d y is a homogeneous differential equation.

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