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Integrating Factor of Linear Differential Equation X (Dy)/(Dx) + 2y =X^2 Log X is ____________ - Mathematics and Statistics

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Question

Integrating factor of linear differential equation `x (dy)/(dx) + 2y =x^2 log x` is ____________

Options

  • `1/x^2`

  • `1/x`

  • `x`

  • `x^2`

MCQ

Solution

`x^2`

`(dy)/(dx) + (2y)/x = xlog x`

`P = 2/x`

`I.F = e^(int2/x dx) = e^(2log x) = x^2`

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2017-2018 (March)

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