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

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

$$(-4x^2+1)y^{\prime \prime }-20x{y}^{\prime }-16y=0$$

$$(x^2-1)y^{\prime \prime }-6x{y}^{\prime }+12y=0$$

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

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

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

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

$$(2x^2+1)y^{\prime \prime }+7x{y}^{\prime }+2y=0$$

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

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

$$y^{\prime \prime }+x{y}^{\prime }-4y=6{\mathrm{e}}^x$$

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

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

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

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

$$x^2{y}^{\prime \prime }+x(1-x)y^{\prime }-7y=0$$

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

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

$$x^2{y}^{\prime \prime }-x\cos \left(x\right)y^{\prime }+5{\mathrm{e}}^{2x}y=0$$

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

$$6x^2{y}^{\prime \prime }+x(1+18x)y^{\prime }+(1+12x)y=0$$

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

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

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

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

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

$$3x^2{y}^{\prime \prime }+x(7+3x)y^{\prime }+(1+6x)y=0$$

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

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

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

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

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

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

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

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

$$x^2{y}^{\prime \prime }-(2\sqrt{5}-1)x{y}^{\prime }+(\frac{19}{4}-3x^2)y=0$$

$$x^2{y}^{\prime \prime }+(-2x^5+9x)y^{\prime }+(10x^4+5x^2+25)y=0$$

$$x^2{y}^{\prime \prime }+(4x+\frac{1}{2}{x}^2-\frac{1}{3}{x}^3)y^{\prime }-\frac{7y}{4}=0$$

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

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

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

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

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

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

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

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

$$x^2(x^2+1)y^{\prime \prime }+7x{\mathrm{e}}^x{y}^{\prime }+9(1+\tan \left(x\right))y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

$$4x^2{y}^{\prime \prime }+4x(1-x)y^{\prime }+(2x-9)y=0$$

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

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

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

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

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

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

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

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

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

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

$$(-x^2+1)y^{\prime \prime }-6x{y}^{\prime }-4y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$(4x^3-14x^2-2x)y^{\prime \prime }-(6x^2-7x+1)y^{\prime }+(6x-1)y=0$$

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

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

$$x^2(1-4x)y^{\prime \prime }+((1-n)x-(6-4n)x^2)y^{\prime }+n(1-n)xy=0$$

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

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

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

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

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