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An integrating factor of the differentia...

An integrating factor of the differential equations ` x (dy)/(dx) + y log x = xe^(x) x ^(-(1)/(2) log x) , (x ge 0 )` is:

A

` x ^(logx )`

B

` (sqrtx)^(logx)`

C

` (sqrte) ^((logx)^(2))`

D

` e^(x^(2))`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • An integrating factor of the differential equation sin x (dy)/(dx) + 2 y cos x =1 is

    A
    `sin ^(2) x`
    B
    `(2)/(sin x)`
    C
    `log |sin x|`
    D
    `(1)/( sin ^(2) x)`

  • The Integrating Factor of the differential equation x (dy)/(dx)-y=2 x^2 is

    A
    `e^(-x)`
    B
    `e^(-y)`
    C
    `1/x`
    D
    `x`

  • An integrating factor of the differential equation xdy-ydx+x^(2)e^(x)dx=0 is

    A
    `(1)/(x)`
    B
    `logsqrt(1+x^(2))`
    C
    `sqrt(1+x^(2))`
    D
    x

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