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

$$y^{\prime }=4y$$

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

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

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

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

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

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

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

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

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

$$y^{\prime \prime }=4y$$

$$y^{\prime \prime }+9y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$(x^2+3)y^{\prime \prime }-7x{y}^{\prime }+16y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

$$(x^2-6x+10)y^{\prime \prime }-4(x-3)y^{\prime }+6y=0$$

$$(4x^2+16x+17)y^{\prime \prime }=8y$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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