B5 DETEST

$$\begin{align}\dot{x}_{0}&=x_{1} \cdot x_{2}\\\dot{x}_{1}&=- x_{0} \cdot x_{2}\\\dot{x}_{2}&=- 0.51 \cdot x_{0} \cdot x_{1}\end{align}$$

Euler equations of motion for a rigid body without external forces.
Link to DETEST description

non-linear; motion

$$\begin{align}x_{0}(0)&=0.0\\x_{1}(0)&=1.0\\x_{2}(0)&=1.0\end{align}$$

No exact solution provided.

[untested]

$$\begin{align}x_{0}(0)&=0.0\\x_{1}(0)&\subset~\left[ 1.0, 1.25\right]\\x_{2}(0)&\subset~\left[ 0.9, 1.1\right]\end{align}$$

No exact solution provided.

[untested]

^* rounded (non-rigorously) to 5 decimal places to preserve screen real estate.