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AP EAMCET2008MathematicsDifferential Equations

The solution of the differential equation d y d x = x y+y x y+x is

Options

  1. Ax+y- ( c y x )
  2. Bx+y= (c x y)
  3. Cx-y- ( c x y )
  4. Dy-x= ( c x y )

Correct answer

D. y-x= ( c x y )

Step-by-step solution

Given differential equation is aligned d y d x & = x y+y x y+x d y d x & = y(1+x) x(1+y) (1+y) y d y & = (1+x) x d x ( 1 y +1 ) d y & = ( 1 x +1 ) d x y+y & = x+x+ c y-x & = ( c x y ) aligned

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