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BITSAT2009MathematicsThree Dimensional GeometryActual

Solution of the differential equation ( d y d x + y x = x ) is

Options

  1. A(x(y+ x)= x+C )
  2. B(x(y- x)= x+C )
  3. C(x(y+ x)= x+C )
  4. DNone of these

Correct answer

C. (x(y+ x)= x+C )

Step-by-step solution

( aligned & d y d x + 1 x y= x [ Type d y d x +P y=Q ] & e^ P d x =e^ 1 x d x =e^ x =x aligned ) ( ) Sol. is ( yx = x xdx + C ) ( aligned & =x(- x)- 1 (- x) d x+C & =-x x+ x+C x(y+ x)= x+C aligned )

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