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

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

$$x{y}^{\prime \prime }+4y^{\prime }=18x^2$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$x{y}^{\prime \prime }+4y^{\prime }=18x^2$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y{y}^{\prime \prime \prime }+6y^{\prime \prime }+3y^{\prime }=y$$

$$x^2{y}^{\prime \prime }-6x{y}^{\prime }+12y=0$$

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

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

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

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

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

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

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

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

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

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

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

$$x^2{y}^{\prime \prime }-20y=27x^5$$

$$x{y}^{\prime \prime }+(2x+2)y^{\prime }+2y=8{\mathrm{e}}^{2x}$$

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

$$x^3{y}^{\prime \prime \prime }-4y^{\prime \prime }+10y^{\prime }-12y=0$$

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

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

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

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

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

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

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

$$x^2{y}^{\prime \prime }-5x{y}^{\prime }+8y=0$$

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

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

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

$$x^2{y}^{\prime \prime }-5x{y}^{\prime }+9y=0$$

$$x^2{y}^{\prime \prime }+5x{y}^{\prime }+4y=0$$

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

$$x^2{y}^{\prime \prime }-19x{y}^{\prime }+100y=0$$

$$x^2{y}^{\prime \prime }-5x{y}^{\prime }+29y=0$$

$$x^2{y}^{\prime \prime }-x{y}^{\prime }+10y=0$$

$$x^2{y}^{\prime \prime }+5x{y}^{\prime }+29y=0$$

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

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

$$4x^2{y}^{\prime \prime }+37y=0$$

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

$$x^2{y}^{\prime \prime }+x{y}^{\prime }-25y=0$$

$$4x^2{y}^{\prime \prime }+8x{y}^{\prime }+5y=0$$

$$3x^2{y}^{\prime \prime }-7x{y}^{\prime }+3y=0$$

$$x^2{y}^{\prime \prime }-2x{y}^{\prime }-10y=0$$

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

$$x^2{y}^{\prime \prime }-11x{y}^{\prime }+36y=0$$

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

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

$$x^2{y}^{\prime \prime }-3x{y}^{\prime }+13y=0$$

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

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

$$x^3{y}^{\prime \prime \prime }-5x^2{y}^{\prime \prime }+14x{y}^{\prime }-18y=0$$