$$y^{\prime \prime }+9y=2\cos \left(3t\right)$$

$$y^{\prime \prime }+4y=8$$

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

$$y^{\prime \prime }-4y^{\prime }+5y=2{\mathrm{e}}^t$$

$$y^{\prime \prime }+6y^{\prime }+13y=13\mathrm{Heaviside}(t-4)$$

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

$$y^{\prime \prime }+3y=\mathrm{Heaviside}(t-4)\cos (5t-20)$$

$$y^{\prime \prime }+4y^{\prime }+9y=20\mathrm{Heaviside}(t-2)\sin (t-2)$$

$$y^{\prime \prime }+3y=\{\begin{array}{cc}t& 0\le t<1\\ 1& 1\le t\end{array}$$

$$y^{\prime \prime }+3y=5\delta (t-2)$$

$$y^{\prime \prime }+2y^{\prime }+5y=\delta (t-3)$$

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

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

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

$$y^{\prime \prime }+y^{\prime }+5y=\mathrm{Heaviside}(t-2)\sin (4t-8)$$

$$y^{\prime \prime }+y^{\prime }+8y=(1-\mathrm{Heaviside}(t-4))\cos (t-4)$$

$$y^{\prime \prime }+y^{\prime }+3y=(1-\mathrm{Heaviside}(t-2)){\mathrm{e}}^{-\frac{t}{10}+\frac{1}{5}}\sin (t-2)$$

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

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

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

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

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

$$y^{\prime \prime }+3y^{\prime }+8y={\mathrm{e}}^{-x^2}$$

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

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

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

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

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

$$y^{\prime \prime }=2y^{\prime }-6$$

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

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

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

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

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

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

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

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

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

$$y^{\prime \prime }=2y^{\prime }-5y+30{\mathrm{e}}^{3x}$$

$$y^{\prime \prime \prime \prime }+6y^{\prime \prime }+3y^{\prime }-83y-25=0$$

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

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

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

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

$$y^{\prime \prime }-6y^{\prime }+8y={\mathrm{e}}^{4x}$$

$$y^{\prime \prime \prime }-9y^{\prime \prime }+27y^{\prime }-27y=0$$

$$y^{\prime \prime \prime }-9y^{\prime \prime }+27y^{\prime }-27y={\mathrm{e}}^{3x}\sin \left(x\right)$$

$$y^{\prime \prime \prime \prime }-8y^{\prime \prime \prime }+24y^{\prime \prime }-32y^{\prime }+16y=0$$

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

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

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

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

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

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

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

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

$$y^{\prime \prime }-10y^{\prime }+9y=0$$

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

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

$$y^{\prime \prime \prime \prime }-10y^{\prime \prime }+9y=0$$

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

$$y^{\prime \prime }+2y^{\prime }-24y=0$$

$$y^{\prime \prime }-25y=0$$

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

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

$$3y^{\prime \prime }+7y^{\prime }-6y=0$$

$$y^{\prime \prime }-8y^{\prime }+15y=0$$

$$y^{\prime \prime }-8y^{\prime }+15y=0$$

$$y^{\prime \prime }-8y^{\prime }+15y=0$$

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

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

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

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

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

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

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

$$16y^{\prime \prime }-24y^{\prime }+9y=0$$

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

$$y^{\prime \prime }-8y^{\prime }+16y=0$$

$$y^{\prime \prime }-8y^{\prime }+16y=0$$

$$y^{\prime \prime }-8y^{\prime }+16y=0$$

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

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

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

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

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

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

$$y^{\prime \prime }-4y^{\prime }+29y=0$$

$$9y^{\prime \prime }+18y^{\prime }+10y=0$$

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

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

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

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

$$y^{\prime \prime }-4y^{\prime }+13y=0$$

$$y^{\prime \prime }-4y^{\prime }+13y=0$$

$$y^{\prime \prime }-4y^{\prime }+13y=0$$

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

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

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

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