According to the code given change the system ODE to the following to plot the trajectories.

system1:

x' = -x-y

y' = 2x - (2/3)y

system 2:

x''+(4/t)x'+(2/t^2)x = 0

$Sample script for plotting trajectories of a system using quiver clear all; close all; [x1,x2] meshgrid (-1: 0.1:1 1:0. 1:1) xdl zeros (size (x1)); xd2 zeros (size (x2) for i 1:20 for j 1:20 xdot sys (0, (x1 (i, j) x2 (i, j) xd1 (i, j) xdot (1) xd2 (i,j) xdot (2) end end figure (1); quiver (x1, x2,xd1,xd2) xlabel ('x1') ylabel ('x2'); title ('Direction field trajectories of a given system grid on & Function to define the differential equations is given below: function xdot sys (t,x) xdot. C-4 x (1) -8 x (2) -2*x (2) end