$$h\left(y\right)y^{\prime \prime }-D\left(h\right)\left(y\right){y^{\prime }}^2-h{\left(y\right)}^{2}j(x,\frac{y^{\prime }}{h\left(y\right)})=0$$

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

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

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

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

$$(\mathrm{f}1y^{\prime }+\mathrm{f}2y)y^{\prime \prime }+\mathrm{f}3{y^{\prime }}^2+\mathrm{f}4\left(x\right)y{y}^{\prime }+\mathrm{f}5\left(x\right)y^2=0$$

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

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

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

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

$$h\left(y^{\prime }\right)y^{\prime \prime }+j\left(y\right)y^{\prime }+f=0$$

$${y^{\prime \prime }}^2-ay-b=0$$

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

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

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

$$x^2(2-9x){y^{\prime \prime }}^2-6x(1-6x)y^{\prime }{y}^{\prime \prime }+6y{y}^{\prime \prime }-36x{y^{\prime }}^2=0$$

$$F_{1,1}\left(x\right){y^{\prime }}^2+((F_{2,1}\left(x\right)+F_{1,2}\left(x\right))y^{\prime \prime }+y(F_{1,0}\left(x\right)+F_{0,1}\left(x\right)))y^{\prime }+F_{2,2}\left(x\right){y^{\prime \prime }}^2+y(F_{2,0}\left(x\right)+F_{0,2}\left(x\right))y^{\prime \prime }+F_{0,0}\left(x\right)y^2=0$$

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

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

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

$${(2y{y}^{\prime \prime }-{y^{\prime }}^2)}^3+32y^{\prime \prime }{(x{y}^{\prime \prime }-y^{\prime })}^3=0$$

$$\sqrt{a{y^{\prime \prime }}^2+b{y^{\prime }}^2}+cy{y}^{\prime \prime }+d{y^{\prime }}^2=0$$

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

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

$$y{y}^{\prime }-y=a^2{f}^{\prime }\left(x\right)f^{\prime \prime }\left(x\right)-\frac{{(f\left(x\right)+b)}^2{f}^{\prime \prime }\left(x\right)}{{f^{\prime }\left(x\right)}^3}$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$m{x}^{\prime \prime }=f\left(x\right)$$

$$m{x}^{\prime \prime }=f\left(x^{\prime }\right)$$

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

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

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

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

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

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

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

$$y^{\prime \prime }+\frac{kx}{y^4}=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$x{y}^{\prime \prime }-{y^{\prime }}^2=6x^5$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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