X=TAN 1/2 Y 证明DY / DX=2/(1+X^2)
dy/dx,y=(1+x+x^2)e^x
dy/dx-2y/(x+1)=(x+1)^2
dy/dx-2y/(1+x)=(x+1)^3
dy/dx=(e^x+x)(1+y^2)通解
(x^2)dy+(y^2)dx=dx-dy
dy/dx-y/x=x^2
100分求道高数题1.求微分方程dy/dx=y/x+2tan(y/x)的通解
dy/dx=x(1+y^2)/y通解
y=f[(x-1)/(x+1)],f'(x)=arctanx^2,求dy/dx,dy
从(dx)/(dy)=1/y '导出:(d^2x)/(dy^2)=-y''/(y')^3
求解微分方程dy/dx+x/2y=1/2
dy/dx=1+x+y^2+xy^2