设y=y(x)由方程ex-ey=sin(xy)所确定,求|x=0.

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问题 设y=y(x)由方程ex-ey=sin(xy)所确定,求|x=0.

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答案等式两边求微分,得 d(ex-ey)=d[sin(xy)], 即edx-edy=cos(xy)d(xy)=cos(xy)(ydx+xdy), [*]

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