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KCET2018MathematicsDifferential Equations

The integrating factor of ( d y d x +y= 1+y x ) is

Options

  1. A( x e^ x )
  2. B( x e^ 1 x )
  3. C( e^ x x )
  4. D( x e^ x )

Correct answer

C. ( e^ x x )

Step-by-step solution

Given differential equation, [ array l d y d x +y= 1+y x d y d x +y (1- 1 x )= 1 x array ] So, integrating factor is given by I.F. ( =e^ (1- 1 x ) d x =e^ x e^ - x = e^ x x )

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