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KCET2014MathematicsMatrices

The general solution of the differential equation ( d y d x + y x =3 x ) is

Options

  1. A( y=x+ C x )
  2. B( y=x²+ C x )
  3. C( y=x- C x )
  4. D( y=x²- C x )

Correct answer

D. ( y=x²- C x )

Step-by-step solution

Given differential equation is, [ array l d y d x + y x =3 x (1) x d y d x +y=3 x² d d x (x y)=3 x² (2) array ] On integrating, we get; [ array l x y=x³+c y= x³+c x array ] After integrating equation (2), we have [ array l x y=x³-c y=x²- C x array ]

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