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The integrating factor of (dy)/(dx)+y=(1...

The integrating factor of `(dy)/(dx)+y=(1+y)/x` is

A

`xe^(x)`

B

`xe^(1/x)`

C

`e^(x)/x

D

`x/e^(x)`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Integrating factor of x(dy)/(dx) -y = x^(4) -3x is

    A
    x
    B
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  • Solution of dy/dx = y/(x+y) is

    A
    `y = ke^(y/x)`
    B
    `y = ke^(x/y)`
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    `x = k. e^(y/x)`
    D
    `x = ke^(x/y)`
  • Solution of dy/dx = (x+Y)/(x-y) is

    A
    `(tan^(-1)) x/y - 1/2 log (x^(2)+y^(2)) = c`
    B
    `(tan^(-1)) y/x - 1og (x^(2)+y^(2)) = c`
    C
    `(tan^(-1)) y/x - 1/2 log (x^(2)+y^(2)) = c`
    D
    `(tan^(-1)) y/x - 1/2 log (x^(2)+y^(2)) + c`
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