MATLAB

Please do not use any tools not included in the basic student MATLAB package

The Lorenz attractor is a system of ordinary differential equations (ODEs) that was originally developed to model convection currents in the atmosphere. The Lorenz equations can be written as: dx -= (y-x) dt dy dt dz dt Where x, y, and z represent position in three di ns and , p, and are scalar parameters of the system. You can read more about the Lorenz attractor on Wikipeida: for fun type in lorenz into your Matlab command window to see what happens Write a function [T, X, Y, Z] = myLorenzsolver (tspan, so, sigma, rho, beta) that solves the Lorenz equations using the built-in MATLAB function ode 45. The input tSpan is a (1 x 2) array of the form [to, tf] where t0 is the initial time and tf is the final time. The input s0 is a (3 x 1) array of the form [x0; yo; z0] where (Xo, Vo, Zo) represents the initial position. The inputs sigma, rho, and beta are all (1 x 1) double arrays representing the values for . , and B. The output is a (1x n) double array of times given as the output of ode 45, while X, Y, and Z are the numerically integrated solution produced from myLorenz and ode45