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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$x^2{y}^{\prime \prime }+x{y}^{\prime }+(36x^2-\frac{1}{4})y=0$$

$$x^2{y}^{\prime \prime }+x{y}^{\prime }+(25x^2-\frac{4}{9})y=0$$

$$x^2{y}^{\prime \prime }+x{y}^{\prime }+(2x^2-64)y=0$$

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

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

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

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

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

$$4x^2{y}^{\prime \prime }+(16x^2+1)y=0$$

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

$$9x^2{y}^{\prime \prime }+9x{y}^{\prime }+(x^6-36)y=0$$

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

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

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

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

$$16x^2{y}^{\prime \prime }+32x{y}^{\prime }+(x^4-12)y=0$$

$$4x^2{y}^{\prime \prime }-4x{y}^{\prime }+(16x^4+3)y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime }+4y=1$$

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

$$(-x^2+1)y^{\prime \prime }-2x{y}^{\prime }+30y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$2(t^2-5t+6)y^{\prime \prime }+(2t-3)y^{\prime }-8y=0$$

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

$$x^2{y}^{\prime \prime }+x{y}^{\prime }+(x^2-\frac{4}{49})y=0$$

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

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

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

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

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

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

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

$$9x^2{y}^{\prime \prime }+9x{y}^{\prime }+(36x^4-16)y=0$$

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

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

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

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

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

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

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