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

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

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

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

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

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

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

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

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

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

$$y^{\prime }=y^{\frac{2}{5}}$$

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

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

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

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

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

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

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

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

$$7x{y}^{\prime }-2y=-\frac{x^2}{y^6}$$

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

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

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

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

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

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

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

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

$$y^{\prime }-4y=\frac{48x}{y^2}$$

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }=\frac{y^2-3xy-5x^2}{x^2}$$

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }=\frac{-6x+y-3}{2x-y-1}$$

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

$$y^{\prime }=\frac{-x+3y-14}{x+y-2}$$

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

$$xy{y}^{\prime }=3x^6+6y^2$$

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

$$y^{\prime }=y^2{\mathrm{e}}^{-x}+4y+2{\mathrm{e}}^x$$

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

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

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

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

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

$$y^{\prime }+\frac{3y}{x}=\frac{3x^4{y}^2+10x^{2}y+6}{x^3(2x^{2}y+5)}$$

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

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

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

$$14x^2{y}^3+21y^2{y}^{\prime }{x}^2=0$$

$$2x-2y^2+(12y^2-4xy)y^{\prime }=0$$

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

$$4x+7y+(3x+4y)y^{\prime }=0$$

$$-2\sin \left(x\right)y^2+3y^3-2x+(4\cos \left(x\right)y+9x{y}^2)y^{\prime }=0$$

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

$$3x^2+2xy+4y^2+(x^2+8xy+18y)y^{\prime }=0$$

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

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

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

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

$${\mathrm{e}}^x(y^2{x}^2+2x{y}^2)+6x+(2x^{2}y{\mathrm{e}}^x+2)y^{\prime }=0$$

$$x^2{\mathrm{e}}^{x^2+y}(2x^2+3)+4x+(x^3{\mathrm{e}}^{x^2+y}-12y^2)y^{\prime }=0$$

$${\mathrm{e}}^{xy}(x^{4}y+4x^3)+3y+(x^5{\mathrm{e}}^{xy}+3x)y^{\prime }=0$$

$$3x^2\cos \left(x\right)y-x^3{y}^2\sin \left(x\right)+4x+(8y-x^4\sin \left(x\right)y)y^{\prime }=0$$

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

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

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

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

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

$$7x+4y+(4x+3y)y^{\prime }=0$$

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

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

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

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

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

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

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

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