Consider the Laurence 3D dynamical system dx(t) o(y(t) - x(t)) dt dy x(!)(-z(t)) - y(t) dt dz(t) = x(t)y(t) - Bz(t) dt Where o.p.ß are parameters 1. Write a program to solve the system using the Euler explicit method (complete and comment the provided one). (2pts) 2. Make simulations for different values of o,p.ß and different initial values. Find a set of of o.p.ß for which the system has an attractor then: a. Simulate and plot one trajectory only to show convergence b. Simulate and plot at least 3 trajectories to show the existence of attractor a