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If (x^2+y^2)dy=xydx and y(1)=1 and y(xo)...

If `(x^2+y^2)dy=xydx` and y(1)=1 and `y(x_o)=e`, then `x_o=`

A

`sqrt2e`

B

`sqrt3e`

C

`sqrt5e`

D

`e//sqrt2`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If (dy)/(dx) = ( xy)/( x ^(2) + y ^(2)) , y (1) = 1 and y (x _(0)) = e, then x _(0) = _____

    A
    `sqrt ( 3e)`
    B
    `sqrt3e`
    C
    `sqrt (2 ( e ^(2) -1))`
    D
    e

  • If (dy)/dx = (xy)/(x^2 + y^2), y(1) = 1 and y(x) = e then x =

    A
    `(sqrt3/2)e`
    B
    `sqrt3e`
    C
    `sqrt2e`
    D
    `e/sqrt2`

  • If x^3dy+ xydx= 2ydx +x^2dy and y(2) =e then y(4) = ?

    A
    `((1/2) +sqrte)`
    B
    `(1/2sqrte)`
    C
    `sqrte`
    D
    `3/2sqrte`

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