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AP EAMCET20226 Jul 2022Evening ShiftMathematicsDifferential EquationsActual

If y x =A x+C is the general solution of (x y x ) d y= (y y x -x ) d x , then A=

Options

  1. A2
  2. B1
  3. C-1
  4. D-2

Correct answer

B. 1

Step-by-step solution

aligned & (x y x ) d y= (y y x -x ) d x & d y d x = y y / x-x x y x d y d x = y x - 1 y x & Let y x =v or y=v x d y d x =v+x d v d x & v+x d v d x =v- 1 v - v d v= 1 x d x & v= x+C y x = x+C aligned Compare it with given equation, we get A=1

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