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KCET2019MathematicsDifferential Equations

The integrating factor of the differential equation ( (2 x+3 y² ) d y=y d x(y>0) ) is

Options

  1. A( - 1 y² )
  2. B( 1 y² )
  3. C( e^ 1 y )
  4. D( 1 x )

Correct answer

B. ( 1 y² )

Step-by-step solution

( ( B ) ) ( .2 x+3 y² ) dy y = y dx ) ( 2 x y +3 y= d x d y ) ( d x d y - 2 x y =3 y ) If ( =e^ - 2 y d y =e^ -2 y =e^ y⁻² = 1 y² )

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