Pass set of functions as arguments to another function in Python
<p>I would like to implement my own basic Runge-Kutta 4 integrator in Python. The format should be something like this:</p>

<pre><code>---- EXAMPLE set of equations ----
f1 = lambda x: x**2
f2 = lambda y: y**2
.
.
.
fn = lambda n: n**2
f = [f1, f2, f3, ... , fn]

result = integrate(f, other arguments [e.g. stepsize etc.])

---- result should be of format ----
result = [result1 result2 result3 ... resultn]
</code></pre>

<p>So basically I want to be able to define, for example, a set of three equations of motion, and be able to pass these to a function and access them to manipulate these equations inside of that function. How is that possible?</p>

<p>Ideally, I want to achive something similar to Matlabs ode45 function, which can be called for example as follows:</p>

<pre><code>% ---- file 1 ---- %
function xp=F(t,x)
xp=zeros(2,1);
xp(1)=x(2);
xp(2)=-t*x(1)+exp(t)*x(2)+3*sin(2*t); 

% ---- file 2 ---- %
[t,x]=ode45(’file 1’,[t0,tf],[x10,x20]);

% where t0 tf initial and final values of t
% x10 x20 initial values of x
</code></pre>

<p>Note 1:<br>
I have already looked at the source for dopri5 in SciPy but it is implemented in C and far too advanced for my purposes.</p>

<p>Note 2:<br>
Let me know if what I've written above is not clear at all, which </p>
