$$x^2+x{y}^{\prime }=3x+y^{\prime }$$

$$xy{y}^{\prime }-y^2=x^4$$

$$\frac{1}{y^2-xy+x^2}=\frac{y^{\prime }}{2y^2-xy}$$

$$(2x-1)y^{\prime }-2y=\frac{1-4x}{x^2}$$

$$x-y+3+(3x+y+1)y^{\prime }=0$$

$$y^{\prime }+\cos (\frac{x}{2}+\frac{y}{2})=\cos (\frac{x}{2}-\frac{y}{2})$$

$$y^{\prime }(3x^2-2x)-y(6x-2)=0$$

$$y^2{y}^{\prime }x-y^3=\frac{x^4}{3}$$

$$1+{\mathrm{e}}^{\frac{x}{y}}+{\mathrm{e}}^{\frac{x}{y}}(1-\frac{x}{y})y^{\prime }=0$$

$$x^2+y^2-xy{y}^{\prime }=0$$

$$x-y+2+(x-y+3)y^{\prime }=0$$

$$x{y}^2+y-x{y}^{\prime }=0$$

$$x^2+y^2+2x+2y{y}^{\prime }=0$$

$$(-1+x)(y^2-y+1)=(y-1)(x^2+x+1)y^{\prime }$$

$$(x-2xy-y^2)y^{\prime }+y^2=0$$

$$\cos \left(x\right)y+(2y-\sin \left(x\right))y^{\prime }=0$$

$$y^{\prime }-1={\mathrm{e}}^{2y+x}$$

$$2x^5+4x^{3}y-2x{y}^2+(y^2+2x^{2}y-x^4)y^{\prime }=0$$

$$x^2{y}^n{y}^{\prime }=2x{y}^{\prime }-y$$

$$(3x+3y+a^2)y^{\prime }=4x+4y+b^2$$

$$x-y^2+2xy{y}^{\prime }=0$$

$$x{y}^{\prime }+y=y^2\ln \left(x\right)$$

$$\sin (\ln \left(x\right))-\cos (\ln \left(y\right))y^{\prime }=0$$

$$y^{\prime }=\sqrt{\frac{9y^2-6y+2}{x^2-2x+5}}$$

$$(5x-7y+1)y^{\prime }+x+y-1=0$$

$$x+y+1+(2x+2y-1)y^{\prime }=0$$

$$y^3+2(x^2-x{y}^2)y^{\prime }=0$$

$$y^{\prime }=\frac{2{(y+2)}^2}{{(x+y-1)}^2}$$

$$x^{\prime }+3x={\mathrm{e}}^{-2t}$$

$$x^{\prime }-3x=3t^3+3t^2+2t+1$$

$$x^{\prime }-x=\cos \left(t\right)-\sin \left(t\right)$$

$$2x^{\prime }+6x=t{\mathrm{e}}^{-3t}$$

$$x^{\prime }+x=2\sin \left(t\right)$$