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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$8x+1=y{y^{\prime }}^2$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$3{y^{\prime }}^{4}x={y^{\prime }}^{3}y+1$$

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }=\sqrt{1-y}$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$2x{y}^{\prime \prime }+5y^{\prime }+xy=0$$

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

$$x^2(x+4)y^{\prime \prime }+7x{y}^{\prime }-y=0$$

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

$$2x^2{y}^{\prime \prime }+5x{y}^{\prime }+(1+x)y=0$$

$$9x^2{y}^{\prime \prime }+(2+3x)y=0$$

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

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

$$3x^2{y}^{\prime \prime }+(-x^2+5x)y^{\prime }+(2x^2-1)y=0$$

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

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

$$9x^2{y}^{\prime \prime }+9(-x^2+x)y^{\prime }+(-1+x)y=0$$

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

$$2x^2(1-3x)y^{\prime \prime }+5x{y}^{\prime }-2y=0$$

$$4x^2(1+x)y^{\prime \prime }-5x{y}^{\prime }+2y=0$$

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

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

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

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

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

$$x^3(x^2+3)y^{\prime \prime }+5x{y}^{\prime }-(1+x)y=0$$