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

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

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

$$y^{\prime \prime }+4y^{\prime }+5y=\delta (t-2\pi )$$

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

$$y^{\prime \prime }+4y^{\prime }+13y=\delta (t-\pi )+\delta (t-3\pi )$$

$$y^{\prime \prime }-7y^{\prime }+6y={\mathrm{e}}^t+\delta (t-2)+\delta (t-4)$$

$$y^{\prime \prime }+2y^{\prime }+10y=\delta \left(t\right)$$

$$x{y}^{\prime \prime }=y^{\prime }+x^5$$

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

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

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

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

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

$$3y{y}^{\prime }{y}^{\prime \prime }={y^{\prime }}^3-1$$

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

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

$$y^{\prime \prime }-6y^{\prime }+9y={\mathrm{e}}^x$$

$$y^{\prime \prime }+3y^{\prime }+2y=12x^2$$

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

$$y^{\prime \prime }-y^{\prime }-2y=5{\mathrm{e}}^{2x}$$

$$y^{\prime \prime }+16y=4\cos \left(x\right)$$

$$y^{\prime \prime }-4y^{\prime }+3y=9x^2+4$$

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

$$y^{\prime \prime }+y^{\prime }+4y=1$$

$$y^{\prime \prime }+y^{\prime }+4y=\sin \left(x\right)$$

$$t{y}^{\prime \prime }+4y^{\prime }=t^2$$

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

$$y^{\prime \prime }=f\left(t\right)$$

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

$$y^{\prime \prime }=4\sin \left(x\right)-4$$

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

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

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

$$3y{y}^{\prime \prime }=\sin \left(x\right)$$

$$3y{y}^{\prime \prime }+y=5$$

$$ay{y}^{\prime \prime }+by=c$$

$$a{y}^2{y}^{\prime \prime }+b{y}^2=c$$

$$z^{\prime \prime }+3z^{\prime }+2z=24{\mathrm{e}}^{-3t}-24{\mathrm{e}}^{-4t}$$

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

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

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

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

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

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

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

$$y^{\prime \prime }-x{y}^{\prime }-xy-x^5+24=0$$

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

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

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

$$y^{\prime \prime }-ax{y}^{\prime }-bxy-cx=0$$

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

$$y^{\prime \prime }-ax{y}^{\prime }-bxy-c{x}^3=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime \prime }-xy-x^6+64=0$$

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

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

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

$$y^{\prime \prime }-xy-x^6-x^3+42=0$$

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

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

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

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

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

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

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

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

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

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

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

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

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

$$y^{\prime \prime }-\frac{y^{\prime }}{x}-xy-x^2-\frac{1}{x}=0$$

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

$$y^{\prime \prime }-\frac{y^{\prime }}{x}-x^{3}y-x^4-\frac{1}{x}=0$$

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

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

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

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

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

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

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

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

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

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