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

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

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

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

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

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

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

$$f^{\prime \prime }+2(z-1)f^{\prime }+4f=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$x^2(1-4x)y^{\prime \prime }+(-\frac{1}{4}x-x^2)y^{\prime }-\frac{5xy}{16}=0$$

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

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

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

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

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

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

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

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

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

$$u^{\prime \prime }-\frac{2u^{\prime }}{x}-a^{2}u=0$$

$$u^{\prime \prime }+\frac{2u^{\prime }}{x}-a^{2}u=0$$

$$u^{\prime \prime }+\frac{2u^{\prime }}{x}+a^{2}u=0$$

$$u^{\prime \prime }+\frac{4u^{\prime }}{x}-a^{2}u=0$$

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

$$y^{\prime \prime }-a^{2}y=\frac{6y}{x^2}$$

$$y^{\prime \prime }+n^{2}y=\frac{6y}{x^2}$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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