dy/dx=x(1-y)

dy/dx=1+1/(x-y) dy/dx=1-cos(y-x) dy/dx=x(1-y) dy/dx = 1/x-y dy/dx=x+y 微分方程(x+y)(dx-dy)=dx+dy的通解 (x^2)dy+（y^2)dx=dx-dy dy/dx,y=(1+x+x^2)e^x 设y=（x/1-x)^x,求dy/dx 求微分方程y－dy／dx=1＋x×dy／dx的通解 dy/dx=x(1+y^2)/y通解 已知y=x^(1/y),求dy/dx? dy/dx=(e^x+x)(1+y^2)通解 dy/dx=-(x+y)/x通解 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 dy/dx=1/(x+y) 求解微分方程题目错了应该是dy/dx=y/(x+y) 求解微分方程 解方程 x(dy/dx)^3=(1+dy/dx) x=sint+1 y=2cos3t dy/dx