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If xsin((y)/(x))dy = (y sin((y)/(x))-x)d...

If `xsin((y)/(x))dy = (y sin((y)/(x))-x)dx`and y(1) `= (pi)/(2)` then the value of `cos((y)/(e^(7)))` is __________.

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7
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Knowledge Check

  • If xsin((y)/(x))dy=[ysin((y)/(x))-x]dx and y(1)=(pi)/(2) , then the value of cos((y)/(x)) is equal to

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

  • If x "sin"(y/x) dy=[y "sin" (y/x)-x]dx and y(1) =pi/2 , then the value of "cos" (y/x) is

    A
    x
    B
    1/x
    C
    logx
    D
    `e^x`

  • if siny=xsin(a+y) and sec^2y(dy)/(dx)=(A)/(1+x^(2)-2xcosa) then the value of A is

    A
    2
    B
    cos a
    C
    sin a
    D
    none of these