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How to fix ode graphs?

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Fatemeh
Fatemeh le 20 Avr 2023
Commenté : Star Strider le 20 Avr 2023
Hello, I'm trying to combine these two ode plots into one chart, but it gives me two different charts. Can someone please help me with this?
syms y(x) x Y
N=5;
r=0.05;
m=0.01;
p=1;
s=1;
t=0.1;
a=0.25;
b=0.25;
C0=1;
C=5;
t0= N+r+t*p*s-m;
t1=-(N+r+t*p*s-m);
Dy = diff(y);
D2y = diff(y,2);
ode = y-(1/x)*(N+r)-((t*p*s*Dy)/y)+((Dy*((s^2)-m))/y)+((D2y*x*(s^2))/(2*y));
[VF,Subs] = odeToVectorField(ode);
odefcn = matlabFunction(VF, 'Vars',{x,Y});
tspan = [C0 80];
ic = [t0 t1];
[x,y] = ode45(odefcn, tspan, ic);
figure
plot(x, y)
grid
hold on
syms y(x) x Y
f=(x+(x^2+4*r*x*(1-a-b))^0.5)/(2*(1-a-b));
t00=N/C;
t11=-N/(C^2);
Dy = diff(y);
D2y = diff(y,2);
ode2= y-((C-x+f*((1/(r+f))^(1/(1-a-b)))+t*p*s*x*Dy+x*Dy*((s^2)-m)+Dy*(C-x)+0.5*D2y*(x^2)*(s^2)-x*(s^2)*Dy)/x*(1+t*p*s-m));
[VF1,Subs1] = odeToVectorField(ode2);
odefcn1 = matlabFunction(VF1, 'Vars',{x,Y});
tspan2 = [C 1];
ic2 = [t00 t11];
[x,y] = ode45(odefcn1, tspan2, ic2);
figure
plot(x, y)
grid
hold off

Réponse acceptée

Star Strider
Star Strider le 20 Avr 2023
You are telling it to produce two different plots because of two separate figure calls.
syms y(x) x Y
N=5;
r=0.05;
m=0.01;
p=1;
s=1;
t=0.1;
a=0.25;
b=0.25;
C0=1;
C=5;
t0= N+r+t*p*s-m;
t1=-(N+r+t*p*s-m);
Dy = diff(y);
D2y = diff(y,2);
ode = y-(1/x)*(N+r)-((t*p*s*Dy)/y)+((Dy*((s^2)-m))/y)+((D2y*x*(s^2))/(2*y));
[VF,Subs] = odeToVectorField(ode);
odefcn = matlabFunction(VF, 'Vars',{x,Y});
tspan = [C0 80];
ic = [t0 t1];
[x1,y1] = ode45(odefcn, tspan, ic);
figure
plot(x1, y1)
grid
hold on
syms y(x) x Y
f=(x+(x^2+4*r*x*(1-a-b))^0.5)/(2*(1-a-b));
t00=N/C;
t11=-N/(C^2);
Dy = diff(y);
D2y = diff(y,2);
ode2= y-((C-x+f*((1/(r+f))^(1/(1-a-b)))+t*p*s*x*Dy+x*Dy*((s^2)-m)+Dy*(C-x)+0.5*D2y*(x^2)*(s^2)-x*(s^2)*Dy)/x*(1+t*p*s-m));
[VF1,Subs1] = odeToVectorField(ode2);
odefcn1 = matlabFunction(VF1, 'Vars',{x,Y});
tspan2 = [C 1];
ic2 = [t00 t11];
[x2,y2] = ode45(odefcn1, tspan2, ic2);
figure
plot(x2, y2)
grid
hold off
figure % All Together 1!
plot(x1,y1(:,1), 'DisplayName','(x_1,y_1_1)')
hold on
plot(x1,y1(:,2), 'DisplayName','(x_1,y_1_2)')
plot(x2, y2(:,1), 'DisplayName','(x_2,y_2_1)')
plot(x2, y2(:,2), 'DisplayName','(x_2,y_2_2)')
hold off
grid
legend('Location','best')
figure % All Together 2!
yyaxis left
plot(x1,y1(:,1), 'DisplayName','(x_1,y_1_1)')
hold on
plot(x1,y1(:,2), 'DisplayName','(x_1,y_1_2)')
hold off
yyaxis right
plot(x2, y2(:,1), 'DisplayName','(x_2,y_2_1)')
hold on
plot(x2, y2(:,2), 'DisplayName','(x_2,y_2_2)')
hold off
grid
legend('Location','best')
The ‘x’ limits in the two integrations are not the same.
.
  2 commentaires
Fatemeh
Fatemeh le 20 Avr 2023
Thank you so much.
Star Strider
Star Strider le 20 Avr 2023
As always, my pleasure!

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