设y=y(x)由方程e^xy+sin(xy)=y确定,求dy/dx.
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设y=y(x)由方程e^xy+sin(xy)=y确定,求dy/dx.设y=y(x)由方程e^xy+sin(xy)=y确定,求dy/dx.设y=y(x)由方程e^xy+sin(xy)=y确定,求dy/d
设y=y(x)由方程e^xy+sin(xy)=y确定,求dy/dx.
设y=y(x)由方程e^xy+sin(xy)=y确定,求dy/dx.
设y=y(x)由方程e^xy+sin(xy)=y确定,求dy/dx.
e^(xy) + sin(xy) = y
(y+xy')e^(xy) + (y+xy')cos(xy) = y'
y'=(ye^(xy)+ycos(xy))/(1-xe^(xy)-xcos(xy))
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