If the curve satisfying \( \left(1+e^{x / y}\right) \mathrm{d} x+e^{x / y}(1-x / y) \mathrm{d} y...

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If the curve satisfying \( \left(1+e^{x / y}\right) \mathrm{d} x+e^{x / y}(1-x / y) \mathrm{d} y \) \( =0 \) passes through \( (1,1) \) then \( 9+y(2) e^{2 / y(2)}-e \) is equal to
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