given a differential equation f, integrate it from 0 to t in matlab

To integrate a differential equation f from 0 to t using Symbolic Math Toolbox in Matlab, follow the steps below:

1. Define the function f symbolically using syms command:

main.m
syms t
f = ...
15 chars
3 lines

2. Integrate f symbolically using the int() function:

main.m
F = int(f, t)
14 chars
2 lines

3. Convert the symbolic expression to a MATLAB function using matlabFunction():

main.m
F_func = matlabFunction(F)
27 chars
2 lines

4. Evaluate the function F_func at t:

main.m
result = F_func(t) - F_func(0)
31 chars
2 lines

The final result will be the value of the integral of f from 0 to t.