求方程组dx/(x+y)=dy/(x-y)=dz / (y^2-2xy-x^2)的通积分

(dy/dx)-y=x求微分方程 y=(sinx)^x 求DY/DX y=x+lnx,求dx/dy 求dy/dx= - x/y 求方程组dx/dt=-y dy/dt=2x=3y的通解 求方程组dx/(x+y)=dy/(x-y)=dz / (y^2-2xy-x^2)的通积分 dy/dx=x+y (x+y)dy+(x-y)dx=0求通解 设 x/y=ln(y/x) ,求 dy/dx dy/dx=(x+y)/(x-y)求通解 x^y-y^x=2,求dy/dx 求dy/dx=(x-y+5)/(x+y-2) 求微分方程 x*dy/dx=y*ln(y/x) . dy/dx=-x/y 求通解如题.dy/dx=-x/y 求通解 方程组 x=ln√1+t^2 y=arctant 求 dy/dx 设y=（x/1-x)^x,求dy/dx y=xe^y,求dy/dx |x=0 x-y²+xe^y=10 求dy/dx