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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$9{(-2+x)}^2(x-3)y^{\prime \prime }+6x(-2+x)y^{\prime }+16y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$\cos \left(x\right)y^{\prime \prime }+y^{\prime }+5y=0$$

$$\cos \left(x\right)y^{\prime \prime }+y^{\prime }+5y=0$$

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

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

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

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

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

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

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

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

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

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

$$(x^3+4x)y^{\prime \prime }-2x{y}^{\prime }+6y=0$$

$$x^2{(x-5)}^2{y}^{\prime \prime }+4x{y}^{\prime }+(x^2-25)y=0$$

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

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

$$x^3(x^2-25){(-2+x)}^2{y}^{\prime \prime }+3x(-2+x)y^{\prime }+7(5+x)y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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