dynamic_2d_nonhomogeneous_solve
Solve non-homogeneous 2D linear systems X' = A·X + B(t) with constant or time-varying forcing, returning classification, equilibrium/particular solution, analytic solution, and trajectories.
Instructions
Solve the non-homogeneous 2D system X' = A·X + B(t) with constant or time-varying forcing.
Args: a, b, c, d: entries of A = [[a, b], [c, d]]. e, f: forcing components B(t); a number or an expression in t (e.g. "sin(2*t)"). x0, y0, t0, t_fin, h: integration settings. x_min..y_max, cantidad_trayectorias: portrait settings.
Returns: Dict with the classification, equilibrium/particular solution, analytic solution and trajectories.
Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| a | No | ||
| b | No | ||
| c | No | ||
| d | No | ||
| e | No | ||
| f | No | ||
| h | No | ||
| t0 | No | ||
| x0 | No | ||
| y0 | No | ||
| t_fin | No | ||
| x_max | No | ||
| x_min | No | ||
| y_max | No | ||
| y_min | No | ||
| cantidad_trayectorias | No |