If \( \frac{\mathrm{d} y}{\mathrm{~d} x}-x \tan (y-x)=1, y(0)=\pi / 2 \) then the value of \( \s...

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If \( \frac{\mathrm{d} y}{\mathrm{~d} x}-x \tan (y-x)=1, y(0)=\pi / 2 \) then the value of \( \sin (y(4)-4) e^{-8} \) is
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