Question

ODE: draw the phase by MATLAB ?′1=−8?1−2?2 and ?′2=2?1−4?2

Answer 1

%Matlab code for plotting of phase space
clear all
close all

%loop for phase space plot
for i=-2:.5:2
        for j= -2:.5:2
              [t,y] = ode45(@vdp1,[0 4],[i;j]);
              hold on
              plot(y(:,1),y(:,2),'r--')
        end
      
end
%lebelling the plot
xlabel('y1')
ylabel('y2')
title('Phase space diagram')

%functions for which phase space have to draw
function dydt = vdp1(t,y)
     dydt = [-8*y(1)-2*y(2); 2*y(1)-4*y(2)];
end

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