Below is my code for forward Euler Can you help me figure ou

Below is my code for forward Euler. Can you help me figure out what the MatLab code is using the BACKWARD EULER method?

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% Forward Euler Calculation for M1 and M2

for n = 1:100

M1(n+1) = M1(n) + h * (M2(n) - M1(n) +M1(n));

M2(n+1) = M2(n) + h * (M1(n) - M2(n));

end

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Solution

clc clear all close all % y\' =-2x-y % initial condition x(1) = 0; y(1) = -2; h = 0.1;% step size %Euler Forward %%%%%%%%%%%%%% for i = 1:10 y(i+1) = y(i)+h*(-2*x(i)-y(i)); x(i+1) = x(i)+h; end % plot figure set(gca,\'Fontsize\',15) plot(x,y,\'+-\', \'Linewidth\', 1.5) xlabel(\'x\') ylabel(\'y\') %Euler Backward %%%%%%%%%%%%%% % yn+1 = (yn -2hxn+1)/(1+h) for i = 1:10 x(i+1) = x(i)+h; y(i+1) = (y(i)-2*h*x(i+1))/(1+h); end % plot hold on plot(x,y,\'+-\', \'Linewidth\', 1.5, \'color\', \'red\') xlabel(\'x\') ylabel(\'y\') legend(\'forward\',\'backward\')