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

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

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

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

$$y^{\prime \prime }+7y^{\prime }+10y=0$$

$$y^{\prime \prime }-36y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$6y^{\prime \prime }-11y^{\prime }+4y=0$$

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

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

$$y^{\prime \prime }+4k{y}^{\prime }-12k^{2}y=0$$

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

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

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

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

$$y^{\prime \prime }-4y^{\prime }+20y=0$$

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

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

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

$$y^{\prime \prime }-4y^{\prime }+20y=0$$

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

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

$$r^{\prime \prime }=-\frac{k}{r^2}$$

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

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

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

$$r^{\prime \prime }=\frac{h^2}{r^3}-\frac{k}{r^2}$$

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

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

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

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

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

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

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

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

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

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

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

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

$$u^{\prime \prime }-\frac{a^{2}u}{x^{\frac{2}{3}}}=0$$

$$u^{\prime \prime }-\frac{2u^{\prime }}{x}-a^{2}u=0$$

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

$$u^{\prime \prime }+\frac{2u^{\prime }}{x}+a^{2}u=0$$

$$u^{\prime \prime }+\frac{4u^{\prime }}{x}-a^{2}u=0$$

$$u^{\prime \prime }+\frac{4u^{\prime }}{x}+a^{2}u=0$$

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

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

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

$$x^2{y}^{\prime \prime }+x{y}^{\prime }+\frac{(-9a^2+4x^2)y}{4a^2}=0$$

$$x^2{y}^{\prime \prime }+x{y}^{\prime }+(x^2-\frac{25}{4})y=0$$

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

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

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

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

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

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

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

$$y^{\prime \prime }+9y^{\prime }=0$$

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

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

$$y^{\prime \prime }+16y=0$$

$$y^{\prime \prime }-5y^{\prime }+6y=0$$

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

$$y^{\prime \prime }-4y^{\prime }+13y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

$$x^2{y}^{\prime \prime }+7x{y}^{\prime }+9y=0$$

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

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

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

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

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

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