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MHT CET202124 Sep 2021Evening ShiftMathematicsDifferential EquationsActual

The general solution of the differential equation dy dx = ( y x )+ y x is

Options

  1. A( y x )=c y
  2. B( y x )=c y
  3. C( y x )=c x
  4. D( y x )=c x

Correct answer

D. ( y x )=c x

Step-by-step solution

aligned & d y d x = ( y x )+ y x & Put y x =v y=x v d y d x =x d v d x +v & v+x d v d x = v+v x d v d x = v & d v v = d x x & | v|= |x|+ |c| v=x c & ( y x )=x c aligned

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