Vyriešiť d^2θ/dt^2+omega^2θ=0

$$\frac { d ^ { 2 } \theta } { d t ^ { 2 } } + \omega ^ { 2 } \theta = 0$$

Riešenie pre t (complex solution)

$$t\in \mathrm{C}$$

$$\theta =0\text{ or }\omega =0$$

Riešenie pre θ (complex solution)

$$\left\{\begin{matrix}\\\theta =0\text{, }&\text{unconditionally}\\\theta \in \mathrm{C}\text{, }&\omega =0\end{matrix}\right,$$

Riešenie pre t

$$t\in \mathrm{R}$$

$$\theta =0\text{ or }\omega =0$$

Riešenie pre θ

$$\left\{\begin{matrix}\\\theta =0\text{, }&\text{unconditionally}\\\theta \in \mathrm{R}\text{, }&\omega =0\end{matrix}\right,$$