function [T Y]=EulersMethod(f,a,b,ya,M)

%Input    - y'=f is the function 
%            - a and b are the left and right endpoints
%            - ya is the initial condition y(a)
%            - M is the number of steps
%Output - E=[T' Y'] where T is the vector of abscissas and
%            - Y is the vector of ordinates

%If f is defined as an function use the @ notation
% call E=euler(@f,a,b,ya,M).
%If f is defined as an anonymous function use the
% call E=euler(f,a,b,ya,M).

h=(b-a)/M;
T=zeros(1,M+1);
Y=zeros(1,M+1);
T=a:h:b;
Y(1)=ya;
for j=1:M
   Y(j+1)=Y(j)+h*f(T(j),Y(j));
 end
end

%example%%%%%%%%
a = 0;          %Interval we are using, from a to b.
b = 1
ya= 1;       %Initial value of y, i.e. y = 1 for t = 0.
N = 10;         %Number of steps we will use
F=@(x,y)-6*y
[T Y]=EulersMethod(F,a,b,ya,N)
plot(T,Y)