% Euler.m
% MST 383/683 
% Fall 2020
%
% Uses Euler Method to approximate solution to y' = -100y, y(0)=10, for t in [0,1]
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% Defining preliminary variables
h = 0.0001;
t = 0:h:1;
y = NaN(1,length(t));
y(1) = 10;

% Iterating EM
for n = 1:( length(t) -1 )
    f = -100*y(n);
    y(n+1) = y(n) + h*f;
end