%% EULER METHOD %% 
%% Writen for x'=f(x) with f(x)=-x and x(0)=x0 %%
clear all

dt=.001;
x0=0;
t0=0;

endtime=1;

t=0:dt:endtime;

N=(endtime-t0)/dt;

x(1)=x0;

for n=1:N
    x(n+1)=x(n)+dt*(x(n)+exp(-x(n)))
end

plot(t,x,'k')
hold on


%% END EULER METHOD %%