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+clear;
+clc;
+close;
+
+disp("When the eigen values are complex, then the fixed point is either :")
+disp("1. Center, or")
+disp("2. Spiral.")
+
+function xd=linear524(t,x)
+ xd(1)=0*x(1)+x(2); //x(dot); x(2) means y.
+ xd(2)=-4*x(1)+0*x(2); //y(dot); x(1) means x.;
+ endfunction
+ bound=[-14,-25,14,25]; //Bounds of x-axis and y-axis as [xmin ymin xmax ymax], change them according to your needs.
+ nrect=10; //increase it to get more number of curves, i.e. more information will be available.
+ set(gca(),"auto_clear","off") //hold on
+ x=linspace(bound(1),bound(3),nrect);
+ y=linspace(bound(2),bound(4),nrect);
+ x0=[];
+
+ for i=1:10
+ x0=[x(i);y(i)];
+ t0=0;
+ t=0:0.01:3000;
+ xout=ode(x0,t0,t,linear524);
+ plot2d(xout(1,:),xout(2,:));
+ end
+ xtitle('Phase Portrait','x-axis ( x )','y-axis ( y )')
+ figure
+ function xd=linear5242(t,x)
+ xd(1)=-x(1)-x(2); //x(dot); x(2) means y.
+ xd(2)=4*x(1)-x(2); //y(dot); x(1) means x.;
+ endfunction
+ bound=[-14,-25,14,25]; //Bounds of x-axis and y-axis as [xmin ymin xmax ymax], change them according to your needs.
+ nrect=10; //increase it to get more number of curves, i.e. more information will be available.
+ set(gca(),"auto_clear","off") //hold on
+ x=linspace(bound(1),bound(3),nrect);
+ y=linspace(bound(2),bound(4),nrect);
+ x0=[];
+
+ for i=1:10
+ x0=[x(i);y(i)];
+ t0=0;
+ t=0:0.01:3000;
+ xout=ode(x0,t0,t,linear5242);
+ plot2d(xout(1,:),xout(2,:));
+ end
+ xtitle('Phase Portrait','x-axis ( x )','y-axis ( y )') \ No newline at end of file