B3 DETEST

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

A nonlinear chemical reaction.
Link to DETEST description

non-linear; uncoupled

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

No exact solution provided.

[untested]

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

No exact solution provided.

[untested]

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