已知y sin x—cos(x—y)=0,求dy.

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问题 已知y sin x—cos(x—y)=0,求dy.

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答案利用一阶微分形式的不变性求得d(ysinx)一d[cos(x一y)]=0,即 sinxdy+ycosxdx+sin(x—y)(dx一dy)=0 整理得 [(sin(x—y)一sinx)]dy=[ycosx+sin(x—y)]dx 故 [*]

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