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AP EAMCET202316 May 2023Evening ShiftMathematicsDifferential EquationsActual

The integrating factor of the linear differential equation d y d x = 1 4 x+3 y is

Options

  1. Ae ^ 3 x
  2. Be ^ -3 x
  3. Ce ^ -4 y
  4. De ^ 4 y

Correct answer

C. e ^ -4 y

Step-by-step solution

Given d y d x = 1 4 x+3 y d x d y =3 y+4 x d x d y -4 x=3 y Then, IF =e^ -4 d y =e^ -4 y

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