Question on initial value problem

I dont exactly understand aything from this question

Isearched what is "deval" and how to use it, but it is difficult to apply what I see in this Website for deval function for the posted question.

please help me to do this, or give some hints, or try to do by myself by the help of your suggestions.

note this is not assignment and like this, I just try to learn matlab by myself on those quarantina days.

Answer 1

[Ameer Hamza]

Check this code

f = @(x) x.^2;
F = indefint(f, 0, 1, 0);

function F = indefint(f, a, b, Fa)
    sol = ode45(@(t,x) f(t), [a b], Fa);
    F = @(x) deval(sol, x);
end

function handle 'F', is the integral of on the domain 0 to 1. You can evaluate its value like this

>> F(0)
ans =
     0
>> F(0.5)
ans =
    0.0417
>> F(1)
ans =
    0.3333

If you calculate the intergal by hand, you will get same answer.

[Zeynep Toprak]

thank you very much! take care :)

[Ameer Hamza]

I am glad to be of help.