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The solution of the differential equation y d x+ (x+x^2 y ) d y=0 is

Options

  1. A- 1 x y =C
  2. B- 1 x y + y=C
  3. C1 x y + y=C
  4. Dy=C x

Correct answer

B. - 1 x y + y=C

Step-by-step solution

y d x+x d y+x^2 y d y=0 d(x y) x^2 y^2 + 1 y d y=0 - 1 x y + y=C

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