specific solution in a vector field of a equation system

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Alvaro Mª Zumalacarregui Delgado
回答： Nagasai Bharat 2021-3-11
I create a vector field of a equation system, also I want to represent the spefic solution of the system in that field but I think that I do it wrong.
this is the system:
dx/dt=P-ay
dy/dt=Q-bx
the code:
x1=-1;
x2=5;
y1=-1;
y2=5;
N = 20;
x = linspace(x1,x2,N);
y = linspace(y1,y2,N);
[X,Y]= meshgrid(x,y);
U1 = P - a.*Y;
V1 = Q - b.*X;
quiver (app.Axes2,X,Y,U1,V1);
xlim(app.Axes2,[0 5])
ylim(app.Axes2,[0 5])
hold (app.Axes2,'on')
yh = (P/a)./100;
xh1 = -10;
xh2 = 40;
plot (app.Axes2,[xh1,xh2],[yh,yh]);
hold (app.Axes2,'on')
yv1 = -10;
yv2 = 40;
xv = (Q/b)./100;
plot (app.Axes2,[xv,xv],[yv1,yv2])
hold (app.Axes2, 'on')
s = Q.*x-(b.*x.^2)/2-P.*y+(a.*y.^2)/2;
plot (app.Axes2,x,s,'r')
hold (app.Axes2,'off')
and the axes:
I think that the code is correct but it doesn't have any sense the axes for me, someone could help me?

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回答（1 个）

Nagasai Bharat
Nagasai Bharat 2021-3-11
Hi,
From my understanding you are manually trying to solve the equation. The following documentation should help you solve the system of differential equations in an efficient way.
Solve a System of Differential Equations - MATLAB & Simulink (mathworks.com)

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