$$x^3{y}^{\prime }-\sin \left(y\right)=1$$

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

$${\mathrm{e}}^y={\mathrm{e}}^{4y}{y}^{\prime }+1$$

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

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

$$x^2{y}^{\prime }+\sin \left(2y\right)=1$$

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

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

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

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

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

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

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

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

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

$$3y-7x+7-(3x-7y-3)y^{\prime }=0$$

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

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

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

$$8x+4y+1+(4x+2y+1)y^{\prime }=0$$

$$x-2y-1+(3x-6y+2)y^{\prime }=0$$

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

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

$$4y^6+x^3=6x{y}^5{y}^{\prime }$$

$$y(1+\sqrt{x^2{y}^4+1})+2x{y}^{\prime }=0$$

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

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

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

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

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

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

$$x{y}^{\prime }-2y=x^3\cos \left(x\right)$$

$$y^{\prime }-y\tan \left(x\right)=\frac{1}{\cos {\left(x\right)}^3}$$

$$y^{\prime }x\ln \left(x\right)-y=3x^3\ln {\left(x\right)}^2$$

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

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

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

$$(\frac{{\mathrm{e}}^{-y^2}}{2}-xy)y^{\prime }-1=0$$

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

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

$$y^{\prime }-y\ln \left(2\right)=2^{\sin \left(x\right)}(\cos \left(x\right)-1)\ln \left(2\right)$$

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

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

$$x^2{y}^{\prime }\cos \left(\frac{1}{x}\right)-y\sin \left(\frac{1}{x}\right)=-1$$

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

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

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

$$y^{\prime }\sin \left(x\right)+\cos \left(x\right)y=1$$

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

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

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

$$(x^3+{\mathrm{e}}^y)y^{\prime }=3x^2$$

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

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

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

$$2y^{\prime }\sin \left(x\right)+\cos \left(x\right)y=y^3\sin {\left(x\right)}^2$$

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

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

$$y^{\prime }-\tan \left(y\right)=\frac{{\mathrm{e}}^x}{\cos \left(y\right)}$$

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

$$\cos \left(y\right)y^{\prime }+\sin \left(y\right)=1+x$$

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

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

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

$$3x^2+6x{y}^2+(6x^{2}y+4y^3)y^{\prime }=0$$

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

$$3x^2\tan \left(y\right)-\frac{2y^3}{x^3}+(x^3\sec {\left(y\right)}^2+4y^3+\frac{3y^2}{x^2})y^{\prime }=0$$

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

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

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

$$\frac{xy}{\sqrt{x^2+1}}+2xy-\frac{y}{x}+(\sqrt{x^2+1}+x^2-\ln \left(x\right))y^{\prime }=0$$

$$\sin \left(y\right)+y\sin \left(x\right)+\frac{1}{x}+(x\cos \left(y\right)-\cos \left(x\right)+\frac{1}{y})y^{\prime }=0$$

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

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

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

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

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

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

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

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

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

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

$$2x{y}^2-3y^3+(7-3x{y}^2)y^{\prime }=0$$

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

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

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

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

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

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

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

$$y^{\prime }=y^{\frac{2}{3}}+a$$

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

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

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

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

$$5xy-4y^2-6x^2+(y^2-8xy+\frac{5x^2}{2})y^{\prime }=0$$

$$3x{y}^2-x^2+(3x^{2}y-6y^2-1)y^{\prime }=0$$

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

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

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