$${(2x{y}^{\prime }-y)}^2=8x^3$$

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

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

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

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

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

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

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

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

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

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

$${y^{\prime }}^3-4xy{y}^{\prime }+8y^2=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$8{(1+y^{\prime })}^3=27(x+y){(-y^{\prime }+1)}^3$$

$$4{y^{\prime }}^2=9x$$

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

$${x^{\prime }}^2+tx=\sqrt{t+1}$$

$${y^{\prime }}^2-4y=0$$

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

$${y^{\prime }}^2=9y^4$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$${y^{\prime }}^2-4y=0$$

$${y^{\prime }}^2-9xy=0$$

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

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

$$t{y}^{\prime }-{y^{\prime }}^3=y$$

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

$$t{y}^{\prime }-y-1={y^{\prime }}^2-y^{\prime }$$

$$1+y-t{y}^{\prime }=\ln \left(y^{\prime }\right)$$

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

$$y=-t{y}^{\prime }+\frac{{y^{\prime }}^5}{5}$$

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

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

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

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

$$y-t{y}^{\prime }=-4{y^{\prime }}^2$$

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

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

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

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

$$\tan \left(y^{\prime }\right)=0$$

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

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

$$4{y^{\prime }}^2-9x=0$$

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

$${y^{\prime }}^2-2x{y}^{\prime }-8x^2=0$$

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

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

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