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MHT CET202019 Oct 2020Evening ShiftMathematicsDifferential EquationsActual

The integrating factor of the differential equation x d y d x +y x=x² is

Options

  1. A( x)^ x
  2. Bx^ x
  3. C( x)²
  4. Dx^ ( x )

Correct answer

D. x^ ( x )

Step-by-step solution

(D) We have x d y d x +y x=x² array l dy dx + ( x x ) y = x I.F. = e ^ x x dx = e ^ 1 2 ( x )² array

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