式子转化:y^2+x^2(dy/dx)=xy(dy/dx)y^2+x^2(dy/dx)=xy(dy/dx) 原方程可写成dy/dx=y^2/(xy-x^2) 对怎么分离dy/dx和y^2/(xy-x^2) 能说下吗,

式子转化:y^2+x^2(dy/dx)=xy(dy/dx)y^2+x^2(dy/dx)=xy(dy/dx) 原方程可写成dy/dx=y^2/(xy-x^2) 对怎么分离dy/dx和y^2/(xy-x^2) 能说下吗, (x^2)dy+（y^2)dx=dx-dy 求下列式子dy/dx (1) x^2y-x+y=0；(2) x√y =y-11 微分方程 dy/dx=(-2x)/y 解方程y^2+x^2*(dy/dx)=x*y*(dy/dx) dy/dx=x/2y dy/dx=x+y dy/dx=2y/x+3x/2y x^y-y^x=2,求dy/dx 求dy/dx=(x-y+5)/(x+y-2) （-2x-y+9)dy=(-y+x+3)dx dy/dx,y=(1+x+x^2)e^x Y=2-sinx.求dy/dx及dy/dx|x=0 d^2y/dx^2=(dy/dx)'×(dy/dx),另外请解释下dx,dy的含义,dx和dy是指x=...和y=...的式子吗（比如参数方程）?还是x的导数和y的导数...我这块很混乱... y=[sin(x^4)]^2,则dy/dx=?,dy^2/dx^2=?,dy/d(x^2)=? x^2+y^2=e^y求dy/dx 求dy/dx=x/y+(cosx/y)^2通解 dy/dx=x(1+y^2)/y通解 微分方程dy/dx=y/(x+y^2)的通解?