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

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

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

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

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

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

$$x^2(3x+1)y^{\prime \prime }+x(x^2+12x+2)y^{\prime }+2x(x+3)y=0$$

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

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

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

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

$$(x^2+1)y^{\prime \prime }-8x{y}^{\prime }+20y=0$$

$$(-x^2+1)y^{\prime \prime }-8x{y}^{\prime }-12y=0$$

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

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

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

$$(x^2+1)y^{\prime \prime }-10x{y}^{\prime }+28y=0$$

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

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

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

$$(2x^2+1)y^{\prime \prime }-9x{y}^{\prime }-6y=0$$

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

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

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

$$(2x^2-4x+1)y^{\prime \prime }+10(-1+x)y^{\prime }+6y=0$$

$$(2x^2-8x+11)y^{\prime \prime }-16(-2+x)y^{\prime }+36y=0$$

$$(3x^2+6x+5)y^{\prime \prime }+9(1+x)y^{\prime }+3y=0$$

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

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

$$(3x^2-6x+5)y^{\prime \prime }+(-1+x)y^{\prime }+12y=0$$

$$(4x^2-24x+37)y^{\prime \prime }+y=0$$

$$(x^2-8x+14)y^{\prime \prime }-8(x-4)y^{\prime }+20y=0$$

$$(2x^2+4x+5)y^{\prime \prime }-20(1+x)y^{\prime }+60y=0$$

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

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

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

$$(-2x^3+1)y^{\prime \prime }-10x^2{y}^{\prime }-8xy=0$$

$$(x^3+1)y^{\prime \prime }+7x^2{y}^{\prime }+9xy=0$$

$$(-2x^3+1)y^{\prime \prime }+6x^2{y}^{\prime }+24xy=0$$

$$(-x^3+1)y^{\prime \prime }+15x^2{y}^{\prime }-36xy=0$$

$$(2x^5+1)y^{\prime \prime }+14x^4{y}^{\prime }+10x^{3}y=0$$

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

$$y^{\prime \prime }+x^6{y}^{\prime }+7x^{5}y=0$$

$$(x^8+1)y^{\prime \prime }-16x^7{y}^{\prime }+72x^{6}y=0$$

$$(-x^6+1)y^{\prime \prime }-12x^5{y}^{\prime }-30x^{4}y=0$$

$$y^{\prime \prime }+x^5{y}^{\prime }+6x^{4}y=0$$

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

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

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

$$(3x^2+x+1)y^{\prime \prime }+(2+15x)y^{\prime }+12y=0$$

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

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

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

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

$$(2x^2+3x)y^{\prime \prime }+10(1+x)y^{\prime }+8y=0$$

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

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

$$x^2{y}^{\prime \prime }-(6-7x)y^{\prime }+8y=0$$

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

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

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

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

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

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

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

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

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

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

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

$$(7+x)y^{\prime \prime }+(8+2x)y^{\prime }+(5+x)y=0$$

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

$$(\beta x^2+\alpha x+1)y^{\prime \prime }+(\delta x+\gamma )y^{\prime }+ϵy=0$$

$$(2x^2+3x+1)y^{\prime \prime }+(6+8x)y^{\prime }+4y=0$$

$$(6x^2-5x+1)y^{\prime \prime }-(10-24x)y^{\prime }+12y=0$$

$$(4x^2-4x+1)y^{\prime \prime }-(8-16x)y^{\prime }+8y=0$$

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

$$(3x^2+8x+4)y^{\prime \prime }+(16+12x)y^{\prime }+6y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime \prime }+(3x^2+12x+13)y^{\prime }+(5+2x)y=0$$

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

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

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

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

$$(2x^2-11x+16)y^{\prime \prime }+(x^2-6x+10)y^{\prime }-(2-x)y=0$$

$$2x^2(x^2+x+1)y^{\prime \prime }+x(11x^2+11x+9)y^{\prime }+(7x^2+10x+6)y=0$$

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

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

$$2x^2(x^2+x+1)y^{\prime \prime }+x(5x^2+3x+3)y^{\prime }+y=0$$