dy/dx=(1-y^2)/(1-x^2)开根号求通解

dy/dx,y=(1+x+x^2)e^x dy/dx=x(1+y^2)/y通解 dy/dx=(e^x+x)(1+y^2)通解 (x^2)dy+（y^2)dx=dx-dy 反函数的二阶导数疑问设dy/dx=y',则dx/dy=1/y',应视为y的函数则d2x/dy2=d(dx/dy)/dy（定义）=d(1/(dy/dx)) / dy=d(1/(dy/dx))/dx * dx/dy（复合函数求导,x是中间变量）=-y''/(y')^2 * (1/y')=-y''/(y')^3d(1/(dy/dx))/dx * dx/dy 求解微分方程dy/dx+x/2y=1/2 dy/dx=1+x+y^2+xy^2 微分方程解法dy/dx-x/(2y)=1/2 x=sint+1 y=2cos3t dy/dx 设y=√(x^2-1)求dy/dx dy/dx=1/(x+y)^2的通解为 dy／dx=（x-y）^2+1通解 dy/dx=1/(x–y^2)的通解 x^2+xy+y^3=1,求dy/dx 设y-x-1/2sinx,则dx/dy= 求dy/dx-2y/x=1的通解 dy/dx=3x+2y+1解微分方程 设y=sin2x/(1+x^2),求dy/dx,