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

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 已知xy+e^y=e...求dx/dy|x=0 已知e^y+e^x-xy^2=0,求dy/dx高等数学求导 已知xy-e^x+e^y=0,求dy/dx x*e^y+siny=0 求dy/dx 微分方程通解（1+e^(x/y))dx+e^(x/y)(1-x/y)dy=0 dy/dx,y=(1+x+x^2)e^x y=e^(x^x) dy/dx=? 微分方程 dy/dx=(e^y+3x)/x^2 dy/dx=(e^x+x)(1+y^2)通解 x=sin(y/x)+e^2 求dy/dx y=e^x/x^2+sin2x 求dy/dx dy/ dx +2y=x*e^x的通解, dy/dx=x+y x^2+y^2=e^y求dy/dx [e^(x+y)-e^x]dx+[e^(x+y)+e^y]dy=0,求i通解 已知y=ln(x+e^x^2) 求dy/dx