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已知 y*sinx-cos(x-y)=0,求dy的值?
人气:172 ℃ 时间:2020-07-01 18:27:49
解答
因为 y*sinx-cos(x-y)=0
则:d(ysinx)-dcos(x-y)=0
即:sinxdy+dcosxdx+sin(x-y)(dx-dy)=0
整理得:[sin(x-y)-sinx]dy=[ycosx+sin(x-y)]dx
所以:dy=[ycosx+sin(x-y)]dx/[sin(x-y)-sinx]
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