Question

数学题，隐函数问题

已知 y*sinx-cos(x-y)=0,求dy的值？

Answer 1

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]