设区域D由与c轴围成,f(x,y)=xy-f(x,y)dxdy,则f(x,y)=_______.

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问题 设区域D由与c轴围成,f(x,y)=xy-f(x,y)dxdy,则f(x,y)=_______.

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答案[*]

解析 令A=f(x,y)dxdy,则f(x,y)=xy-A,两边积分得

解得A=,故f(x,y)=xy-
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