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MHT CET20249 May 2024Evening ShiftMathematicsDifferential EquationsActual

Integrating factor of the differential equation d y ~d x +y= 1+y x is

Options

  1. Ax e ^x
  2. Bx e^x
  3. Ce ^x
  4. De ^x x

Correct answer

D. e ^x x

Step-by-step solution

array ll & d y ~d x +y= 1+y x & ~d y ~d x +y= 1 x + y x & ~d y ~d x + (1- 1 x ) y= 1 x & I.F. = e ^ (1- 1 x ) dx = e ^ x- x = e ^x x array

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