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Manipal MET2013MathematicsDifferential Equations

The solution of the equation d y d x = x(2 x+1) y+y y is

Options

  1. Ay y=x^2 x+ x^2 y +c
  2. By y=x^2( x+1)+c
  3. Cy y=x^2 x+ x^2 2 +c
  4. Dy y=x^2 x+c

Correct answer

D. y y=x^2 x+c

Step-by-step solution

aligned & (y y+ y) d y=(2 x x+x) d x & y y- y d y+ y d x aligned =x^2 x- x^2 1 x d x+ x d x+c y y=x^2 x+c

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