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

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

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

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

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

$$x^2(x^2+1)y^{\prime \prime }-x(9x^2+1)y^{\prime }+(25x^2+1)y=0$$

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

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

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

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

$$9x^2(x+3)y^{\prime \prime }+3x(3+7x)y^{\prime }+(3+4x)y=0$$

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

$$16x^2(x^2+1)y^{\prime \prime }+8x(9x^2+1)y^{\prime }+(49x^2+1)y=0$$

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

$$4x^2(x^2+3x+1)y^{\prime \prime }+8x^2(2x+3)y^{\prime }+(9x^2+3x+1)y=0$$

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

$$9x^2(x^2+x+1)y^{\prime \prime }+3x(13x^2+7x+1)y^{\prime }+(25x^2+4x+1)y=0$$

$$2x^2(2+x)y^{\prime \prime }-x(4-7x)y^{\prime }-(5-3x)y=0$$

$$x^2(-2x+1)y^{\prime \prime }+x(8-9x)y^{\prime }+(6-3x)y=0$$

$$x^2(x^2+1)y^{\prime \prime }+x(10x^2+3)y^{\prime }-(-14x^2+15)y=0$$

$$x^2(-2x^2+1)y^{\prime \prime }+x(-13x^2+7)y^{\prime }-14x^{2}y=0$$

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

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

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

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

$$2x^2(2+3x)y^{\prime \prime }+x(4+21x)y^{\prime }-(1-9x)y=0$$

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

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

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

$$4x^2(1+x)y^{\prime \prime }+4x(3+8x)y^{\prime }-(5-49x)y=0$$

$$x^2(1+x)y^{\prime \prime }-x(3+10x)y^{\prime }+30xy=0$$

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

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

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

$$x^2(2x+1)y^{\prime \prime }+x(9+13x)y^{\prime }+(7+5x)y=0$$

$$4x^2(2x+1)y^{\prime \prime }-2x(4-x)y^{\prime }-(7+5x)y=0$$

$$3x^2(x+3)y^{\prime \prime }-x(15+x)y^{\prime }-20y=0$$

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

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

$$x^2(2x+1)y^{\prime \prime }-2x(3+14x)y^{\prime }+(6+100x)y=0$$

$$x^2(1+x)y^{\prime \prime }-x(6+11x)y^{\prime }+(6+32x)y=0$$

$$4x^2(1+x)y^{\prime \prime }+4x(1+4x)y^{\prime }-(49+27x)y=0$$

$$x^2(2x+1)y^{\prime \prime }-x(9+8x)y^{\prime }-12xy=0$$

$$x^2(x^2+1)y^{\prime \prime }-x(-2x^2+7)y^{\prime }+12y=0$$

$$x^2{y}^{\prime \prime }-x(-x^2+7)y^{\prime }+12y=0$$

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

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

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

$$4x^2{y}^{\prime \prime }+2x(x^2+8)y^{\prime }+(3x^2+5)y=0$$

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

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

$$4x^2{y}^{\prime \prime }+8x{y}^{\prime }-(-x^2+35)y=0$$

$$9x^2{y}^{\prime \prime }-3x(2x^2+11)y^{\prime }+(10x^2+13)y=0$$

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

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

$$x^2(x^2+1)y^{\prime \prime }+x(11x^2+5)y^{\prime }+24x^{2}y=0$$

$$4x^2(x^2+1)y^{\prime \prime }+8x{y}^{\prime }-(-x^2+35)y=0$$

$$x^2(x^2+1)y^{\prime \prime }-x(-x^2+5)y^{\prime }-(25x^2+7)y=0$$

$$x^2(x^2+1)y^{\prime \prime }+x(2x^2+5)y^{\prime }-21y=0$$

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

$$4x^2(x^2+1)y^{\prime \prime }+4x(x^2+2)y^{\prime }-(x^2+15)y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$t^3{y}^{\prime \prime }+\sin \left(t^3\right)y^{\prime }+ty=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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