Pure ODEs examples

In the pure ODEs category there are examples of integration of pure Initial Values Problems (IVP) where the integrand state is a function of only time. The mathematical problem can be always formulated as

where:

• U_t = dU/dt;
• U is the vector of state variables being a function of the time-like independent variable t;
• R is the (vectorial) residual function;
• F is the (vectorial) initial conditions function.

In the pure ODEs category the time derivative residual function R is, in general, a function of U(t).

The provided examples of pure ODEs integration are:

• Lorenz' equations;
• Oscillation-equations;