% apple_worse.m  :  a variant of apple_bad.m to illustrate that MATLAB
% wants the first function to be the main function
% Even if there is an explicitly declared function named apple_worse

% This file produces the following error upon typing:
%   sol_two_worse = apple_worse(1,2,100,3)

% Error: File: apple_worse.m Line: 24 Column: 1
% Function 'apple_worse' has already been declared within this scope.


function two_y = f(t,y)
  two_y = 2 * y
end

function result = orange(t_0,t_end,N,y_0)
 h = (t_end - t_0)/N
 t = [t_0 : h: t_end] 
  y(1) = y_0
  for i=1:N
    y(i+1) = y(i) + h * f(t(i),y(i))
  end
  result = y
end

function result = apple_worse(t_0,t_end,N,y_0)
 h = (t_end - t_0)/N
 t = [t_0 : h: t_end] 
  y(1) = y_0
  for i=1:N
    y(i+1) = y(i) + h * f(t(i),y(i))
  end
  result = y
end