dy/dx=e^(x+y),已知当x=0,y=0,证明y=ln(2-e^x)

[e^(x+y)-e^x]dx+[e^(x+y)-e^y]dy=0求通解 dy/dx+(e^((y^2)+x))/y=0 已知y=ln(x+e^x^2) 求dy/dx ln y = e^x sinx 求dy/dx. 已知,ln y=(sin x)*e^y .求dy/dx... dx+(x-2e^y)dy=0 一阶线性方程 dy/dx,y=(1+x+x^2)e^x [e^(x+y)-e^x]dx+[e^(x+y)+e^y]dy=0,求i通解 已知e^y+e^x-xy^2=0,求dy/dx x*e^y+siny=0 求dy/dx x=sin(y/x)+e^2 求dy/dx dy/ dx +2y=x*e^x的通解,