dy/dx=1+1/(x-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,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 解方程 x(dy/dx)^3=(1+dy/dx) 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 (1-x)dx-(1+y)dy=0求通解 解微分方程(1+x)dy=(1+y)dx 解微分方程 dy/y+1=dx/x+1 (1-x)dx—(1+y)dy=0 x=sint+1 y=2cos3t dy/dx