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AP EAMCET20227 Jul 2022Evening ShiftMathematicsDifferential EquationsActual

An integrating factor of the differential equation (x^2+1 ) d y d x +x y=x^3 is

Options

  1. Ax 1+x^2
  2. B1 2 (1+x^2 )
  3. C1+x^2
  4. De^ (1+x^2 )

Correct answer

C. 1+x^2

Step-by-step solution

Differential equation is aligned & d y d x + ( x 1+x^2 ) y= x^3 x^2+1 & IF =e^ ( x 1+x^2 d x ) =e^ ( 1 2 |1+x^2 | ) & =e^ ( x^2+1 . = x^2+1 aligned

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