(x+xy^2)dx+(y-x^2y)dy=0求可分离变量的通解

e^y+xy=e 求 d^2y/dx^2｜x=0 求详解 y/x=ln(xy) 求dy/dx(xy-y^2)/(xy+x^2) x^2+xy+y^3 求d^2y/dx^2用 dy/dx=-F'x/F'y 计算此二阶导数,怎么计算 1.dy/dx=(y-x)/(y+x)2.x^2*dy/dx=xy-y^2 求解微分方程 x^2*dy/dx=xy-y^2 求齐次微分方程dy/dx=y^2/xy-x^2 dy/dx=xy/x^2-y^2 dy/dx=1+x+y^2+xy^2 求通解:(xy-x^2)dy=y^2dx 微分方程求解 (x^2y^3+xy)dy=dx 解微分方程 (x^2y^3+xy)dy=dx x^2+xy+y^3=1,求dy/dx dy/dx=(x+y^3)/(xy^2) 微分方程求解 (x^2y^3+xy)dy=dx dy/dx=(x+y^3)/xy^2 常微分方程dy/dx=(x^3+xy^2)/y dy/dx=y^2/(x-xy)是齐次方程吗 微积分问题:(xy)'=y'y'=(xy)' dy/dx=d(xy)/dx dy/dx=y+xdy/dx (1-x)dy/dx=y 1/ydy=1/(1-x)dx lny=ln|1-x|+C y=c(x-1)可代回去:y'=c (xy)=c(x^2-x) (xy)'=c(2x-1)两个又不相等了,为什么?错了哪里?