dx/(x(1-x))=dy/y,对这个函数积分,怎么得到x/(1-x)=Cy

已知函数y=x(x-1)(x-2)(x-3)求导数值dy/dx , 求积分,dy/dx=(x-y-1)/(x+y+1) dy/dx,y=(1+x+x^2)e^x 设y=（x/1-x)^x,求dy/dx 设函数y=3^1/X,dy/dx=() 函数y=arctan(1+x^2)求dy/dx 解微分方程dx/2x=dy/4y,为何得x^2=cy? 求函数的导数dy/dx,和微分dy:y=x√1-x dy/dx = 1/x-y dy/dx=x(1-y) dy/dx=y/(sin(y)-x) 的积分 求解dy/dx=(x+y)/(x+y+1)