How do I print the solution equation from an ode solver

clc; clear all; close all

tspan = [0 5];

y0 = 0;

[t,y] = ode113(@(t,y) 2*t, tspan, y0);

disp([t,y]);

plot(t,y)

How do I print the solution of this ode? y'=2*t , I want to print the result, in this case y=t^2, on the screen.

Answer 1

[Sam Chak]

@Alex Monserrat

Use the text() function:

tspan = [0 5];
y0 = 0;
[t, y] = ode45(@(t,y) 2*t, tspan, y0);
% disp([t, y]);
plot(t, y)
text(3, 8,'\leftarrow y = t^2')

[Sam Chak]

For more options, you can refer to this documentation:

https://www.mathworks.com/help/matlab/ref/text.html

[Sam Chak]

If you want to display the solution on the Command Window screen, then this one should do:

Sol = 'y(t) = t^2';
disp(Sol)

[Alex Monserrat]

I see that you wrote the solution in to a string, is there a way in which the output from the ode113 function prints the result ? the y(t) =t^2 ?

[Sam Chak]

The ode113() function is a numerical approach. If you want to get the analytical solution by symbolically solving the ODE, then you have to use the dsolve() function (Symbolic Math Toolbox required).

syms y(t) 
eqn = diff(y,t) == 2*t;
cond = y(0) == 0;
ySol(t) = dsolve(eqn, cond)

ySol(t) =

t^2

Corrected.