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If xsin((y)/(x))dy=[ysin((y)/(x))-x]dx a...

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

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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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The solution of xsin((y)/(x))dy={ysin((y)/(x))-x}dx, is given by