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

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

$$y^{\prime \prime }-\cos \left(x\right)y=\sin \left(x\right)$$

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

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

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

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

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

$$5x{y}^{\prime \prime }+8y^{\prime }-xy=0$$

$$9x{y}^{\prime \prime }+14y^{\prime }+(-1+x)y=0$$

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

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

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

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

$$y^{\prime \prime }+(\frac{16}{3x}-1)y^{\prime }-\frac{16y}{3x^2}=0$$

$$y^{\prime \prime }+(\frac{1}{2x}-2)y^{\prime }-\frac{35y}{16x^2}=0$$

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

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

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

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

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

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

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

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

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

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

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

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

$$x^2{y}^{\prime \prime }+x{y}^{\prime }+(16x^2-25)y=0$$

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

$$y^{\prime \prime }+2y^{\prime }-3y=x{\mathrm{e}}^x$$

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

$$3x{y}^{\prime \prime }+11y^{\prime }-y=0$$

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

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

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

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

$$y^{\prime }=1-xy$$

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

$$y^{\prime }=y\sin \left(x\right)$$

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

$$y^{\prime \prime }-y^{\prime }\sin \left(x\right)=0$$

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

$$\ln \left(x\right)y^{\prime \prime }-y\sin \left(x\right)=0$$

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

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

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

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

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

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

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

$$y^{\prime }={\mathrm{e}}^y+xy$$

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

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

$$9x(1-x)y^{\prime \prime }-12y^{\prime }+4y=0$$