若du(x,y)=[axy3+cos(x+2y)]dx+[3x2y2+bcos(x+2y)]dy,则a=________,b=________.

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问题 若du(x,y)=[axy3+cos(x+2y)]dx+[3x2y2+bcos(x+2y)]dy,则a=________,b=________.

选项

答案2,2

解析
    3axy2-2sin(x+2y)=6xy2-bsin(x+2y)
    比较系数得a=2,b=2.
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