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

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

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

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

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

$$y^{\prime \prime }-12y^{\prime }+40y=0$$

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

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

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

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

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

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

$$16y^{\prime \prime }+24y^{\prime }+153y=0$$

$$y^{\prime \prime \prime \prime }+\frac{25y^{\prime \prime }}{2}-5y^{\prime }+\frac{629y}{16}=0$$

$$y^{\prime \prime }+4y^{\prime }-5y=0$$

$$y^{\prime \prime }-6y^{\prime }+45y=0$$

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

$$y^{\prime \prime }-7y^{\prime }+12y=2$$

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

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

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

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

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

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

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

$$y^{\prime \prime }+10y^{\prime }+24y=0$$

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

$$y^{\prime \prime }+6y^{\prime }+18y=0$$

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

$$y^{\prime \prime }+6y^{\prime }+8y=0$$

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

$$y^{\prime \prime }+10y^{\prime }+25y=0$$

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

$$y^{\prime \prime }+49y=0$$

$$a{y}^{\prime \prime }+b{y}^{\prime }+cy=0$$

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

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

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

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

$$y^{\prime \prime }+8y^{\prime }+12y=0$$

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

$$8y^{\prime \prime }+6y^{\prime }+y=0$$

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

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

$$y^{\prime \prime }+8y=0$$

$$y^{\prime \prime }+7y=0$$

$$4y^{\prime \prime }+21y^{\prime }+5y=0$$

$$7y^{\prime \prime }+4y^{\prime }-3y=0$$

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

$$y^{\prime \prime }-6y^{\prime }+9y=0$$

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

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

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

$$y^{\prime \prime }-7y^{\prime }+12y=0$$

$$2y^{\prime \prime }-7y^{\prime }-4y=0$$

$$y^{\prime \prime }-7y^{\prime }+10y=0$$

$$y^{\prime \prime }+36y=0$$

$$y^{\prime \prime }+100y=0$$

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

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

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

$$y^{\prime \prime }+4y^{\prime }+20y=0$$

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

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

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

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

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

$$9y^{\prime \prime }+6y^{\prime }+y=0$$

$$y^{\prime \prime }+4y^{\prime }+20y=0$$

$$a{y}^{\prime \prime }+2b{y}^{\prime }+cy=0$$

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

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

$$y^{\prime \prime }-6y^{\prime }-16y=0$$

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

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

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

$$y^{\prime \prime }+y=8{\mathrm{e}}^{2t}$$

$$y^{\prime \prime }-4y^{\prime }+3y=-{\mathrm{e}}^{-9t}$$

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

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

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

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

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

$$y^{\prime \prime }+4y=4\cos \left(t\right)-\sin \left(t\right)$$

$$y^{\prime \prime }+4y=\cos \left(2t\right)+t$$

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

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

$$y^{\prime \prime }-4y^{\prime }+13y=2t{\mathrm{e}}^{-2t}\sin \left(3t\right)$$

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

$$5y^{\prime \prime }+y^{\prime }-4y=-3$$

$$y^{\prime \prime }-2y^{\prime }-8y=32t$$

$$16y^{\prime \prime }-8y^{\prime }-15y=75t$$

$$y^{\prime \prime }+2y^{\prime }+26y=-338t$$

$$y^{\prime \prime }+3y^{\prime }-4y=-32t^2$$

$$8y^{\prime \prime }+6y^{\prime }+y=5t^2$$

$$y^{\prime \prime }-6y^{\prime }+8y=-256t^3$$

$$y^{\prime \prime }-2y^{\prime }=52\sin \left(3t\right)$$

$$y^{\prime \prime }-6y^{\prime }+13y=25\sin \left(2t\right)$$

$$y^{\prime \prime }-9y=54t\sin \left(2t\right)$$

$$y^{\prime \prime }-5y^{\prime }+6y=-78\cos \left(3t\right)$$