Solve initial value problems

I’m supposed to write a function with the name ”min_ode” and call it by ”[t,U]=min ode(f,I,ua,h)” This should solve initial value problems. f is the function, I is the interval [a b], ua is a given number such as u(a)=ua and h is the length of steps. In this case h=0.1 and h=0.001. It should return t and U that is two vectors.

Ex: [t,U]=min ode(@fun,[1 4],2,1e-3)

I want to use ”min_ode” to solve these two problems

1)u′(t) = t2, t ∈ [1,3], u(1) = 1.
2)u′(t) = −tu(t), t ∈ [0,3], u(0) = 1.

These problem should be written as a function file such as ”function y=fun(t,u)”

I’ve made two scripts one called ”min_ode” and one called ”fun”

In the ”min_ode” i wrote:

function [t,U]=min_ode(f,I,ua,h)
I=[0 3];
f=@(t,U)(t.^2);
u(1)=ua;
h=0.01;
end

and in the ”fun” i wrote:

function y=fun(t,U)
f=t.^2;
end

But this is obviously wrong and I’ve tried several times but have not managed to solve it. I would really appreciate if someone would help me

[Jyan]

Anyone? :D