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KCET2016MathematicsDifferential Equations

Integrating factor of ( x d y d x -y=x⁴-3 x ) is

Options

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

Correct answer

C. ( 1 x )

Step-by-step solution

Given differential equation is, [ array l x d y d x -y=x⁴-3 x d y d x - 1 x y=x³-3 array ] General differential equation of this type is given by ( d y d x +P(x) y=Q(x) ) Here ( P=- 1 x ) and ( Q=x³-3 ) So, I.F. factor is given by, [ array l I.F. =e^ P d x =e^ - 1 x d x =e^ - x =e^ ( 1 x ) = 1 x array ]

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