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

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

$$y^{\prime \prime }+\beta y^{\prime }+\gamma y=0$$

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

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

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

$$y^{\prime \prime }=\frac{1}{2y^{\prime }}$$

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

$$y^{\prime \prime }=\frac{a}{y^3}$$

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

$$y^{\prime \prime }=\frac{1}{2y^{\prime }}$$

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

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

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

$$y^{\prime \prime }+12y=7y^{\prime }$$

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

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

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

$$4y^{\prime \prime }-12y^{\prime }+9y=0$$

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

$$y^{\prime \prime }+2h{y}^{\prime }+n^{2}y=0$$

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

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

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

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

$$x^{\prime \prime }=(2\cos \left(x\right)-1)\sin \left(x\right)$$

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

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

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

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

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

$$y^{\prime \prime }-3y^{\prime }-10y=0$$

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

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

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

$$x^2{y}^{\prime \prime }-5x{y}^{\prime }+9y=0$$

$$y^{\prime \prime }-y^{\prime }-6y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime \prime }-6y^{\prime }-7y=0$$

$$y^{\prime \prime }-y^{\prime }-12y=0$$

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

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

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

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

$$y^{\prime \prime }+16y=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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