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

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

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

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

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

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

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

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

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

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

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

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

$$x(1-x)y^{\prime \prime }+(\frac{3}{2}-2x)y^{\prime }-\frac{y}{4}=0$$

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

$$2x(1-x)y^{\prime \prime }+(1-11x)y^{\prime }-10y=0$$

$$x(1-x)y^{\prime \prime }+\frac{(-2x+1)y^{\prime }}{3}+\frac{20y}{9}=0$$

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

$$4y^{\prime \prime }+\frac{3(-x^2+2)y}{{(-x^2+1)}^2}=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }-xy=\sin \left(x\right)$$

$$w^{\prime }+wx={\mathrm{e}}^x$$

$$z^{\prime \prime }+z^{\prime }x+z=x^2+2x+1$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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