1.
\frac{dy}{dx}=\frac{1-y}{x-1}
2.
\frac{dy}{dx}=-\frac{x}{y}
3.
\frac{dy}{dx}=\frac{2y-x^{2}}{y^{2}-2x}
4.
\frac{dy}{dx}=-\frac{x}{y}
5.
\frac{dy}{dx}=-\frac{x+2}{y-3}
6.
\frac{dy}{dx}=-\sqrt{\frac{y}{x}}
7.
\frac{dy}{dx}=-(\frac{y}{x})^{\frac{1}{3}}
8.
\frac{dy}{dx}=\frac{x(2x^{2}-5)}{2y(y^{2}-2)}
9.
\frac{dy}{dx}=\frac{y\cos(xy)}{1-x\cos(xy)}
10.
\frac{dy}{dx}=\frac{x(-2x^{2}+3xy+1-y^{2})}{-x^{3}+y+x^{2}y}