Vectorial 1st order differential equation
A vector field is defined by a vector function given by its two components. The differential equation is integrated numerically, by the Euler method and by the Runge-Kutta method 2. The initial condition as well as the discretization step and the extent of the vector field are modifiable. The function must be typed on the keyboard.
Identify systematic errors made by both methods. Vary the starting point. Establish a library of explicit solutions.