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AP EAMCET20228 Jul 2022Evening ShiftMathematicsDifferential EquationsActual

The general solution of x d y-y d x=y d y is

Options

  1. Ay=A e^ -x / y
  2. By=A e^x
  3. Cy x =A e^x
  4. Dx y + y x =c

Correct answer

A. y=A e^ -x / y

Step-by-step solution

x d y-y d x=y d y aligned & -(y d x-x d y)=y d y & - ( y d x-x d y y^2 )= y d y y^2 aligned - d ( x y )= d y y - x y = |y|+C y=A e^ -x / y

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