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

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

$$y^{\prime }-xy=0$$

$$y^{\prime }-2xy=6x{\mathrm{e}}^{x^2}$$

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

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

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

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

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

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

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

$$y^{\prime }+xy=y^{4}x$$

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

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

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

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

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

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

$$\sin \left(x\right)\tan \left(y\right)+1+\cos \left(x\right)\sec {\left(x\right)}^{2}y{y}^{\prime }=0$$

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

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

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

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

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

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

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

$$2x{y}^3+\cos \left(x\right)y+(3y^2{x}^2+\sin \left(x\right))y^{\prime }=0$$

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

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

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

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

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

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

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

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

$$3x^2(1+\ln \left(y\right))+(\frac{x^3}{y}-2y)y^{\prime }=0$$

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

$$\frac{4y^2-2x^2}{4x{y}^2-x^3}+\frac{(8y^2-x^2)y^{\prime }}{4y^3-x^{2}y}=0$$

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

$$x^2{y}^{\prime }-3xy-2y^2=0$$

$$x^2{y}^{\prime }=3(x^2+y^2)\arctan \left(\frac{y}{x}\right)+xy$$

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

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

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

$$x{y}^{\prime }=2x-6y$$

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

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

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

$$y^{\prime }=\frac{x+y+4}{x-y-6}$$

$$y^{\prime }=\frac{x+y+4}{x+y-6}$$

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

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

$$2x+3y-1-4(1+x)y^{\prime }=0$$

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

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

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

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

$${\mathrm{e}}^{\frac{x}{y}}-\frac{y{y}^{\prime }}{x}=0$$

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

$$y^{\prime }=\frac{y\tan \left(\frac{y}{x}\right)}{x}$$

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

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

$$x{y}^{\prime }+y+3x^3{y}^4{y}^{\prime }=0$$

$${\mathrm{e}}^x+({\mathrm{e}}^x\cot \left(y\right)+2y\csc \left(y\right))y^{\prime }=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }+y=1$$

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

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

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

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

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

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

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

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

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