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

$${(-1+x)}^2{y}^{\prime \prime }-(-1+x)y^{\prime }-35y=0$$

$$16{(1+x)}^2{y}^{\prime \prime }+3y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$3x^2{y}^{\prime \prime }+x^6{y}^{\prime }+2xy=0$$

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

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

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

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

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

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

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

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

$$3x^2{y}^{\prime \prime }+5x{y}^{\prime }+3xy=0$$

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

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

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

$$4x^2{y}^{\prime \prime }-4x{\mathrm{e}}^x{y}^{\prime }+3\cos \left(x\right)y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$x^3{y}^{\prime \prime }+y\sin \left(x\right)=0$$

$$x^4{y}^{\prime \prime }+y\sin \left(x\right)=0$$

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

$$4x^2{y}^{\prime \prime }+(2x^4-5x)y^{\prime }+(3x^2+2)y=0$$

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

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

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

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

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

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

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

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

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

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

$$4x^2{y}^{\prime \prime }-8x^2{y}^{\prime }+(4x^2+1)y=0$$

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

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

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

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

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

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

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

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

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

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

$$(x^2-x-6)y^{\prime \prime }+(3x+5)y^{\prime }+y=0$$