高等数学，求下列微分方程满足所给初始条件的特解，谢谢

Question

如题所述

Answer 1

dy/dx=cos(x+y)/2-cos(x-y)/2
dy/dx=-2sin(x/2)sin(y/2)
d(y/2)/sin(y/2)=-2sin(x/2)d(x/2)
积分：ln|csc(y/2)-cot(y/2)|=2cos(x/2)+C