% Problem stabilnosti za Eulerjevo metodo % diferencialna enacba y' = -8y, y(0) = 1 x0=0; y0=1; hold off f621 = inline('-8*y+0*x'); f641 = inline('-8*y+0*x'); N = 100; h = 1/N; alg621 plot(X,Y), hold on ylabel('h=1/100'),pause N = 50; h = 1/N; alg621 plot(X,Y,'m') ylabel('h=1/50'),pause N = 20; h = 1/N; alg621 plot(X,Y,'r') ylabel('h=1/20'), pause hold off N = 10; h = 1/N; alg621 plot(X,Y), hold on ylabel('h=1/10'), pause N = 8; h = 1/N; alg621 plot(X,Y,'k') ylabel('h=1/8'), pause N = 6; h = 1/N; alg621 plot(X,Y,'r'), hold off ylabel('h=1/6'), pause N = 5; h = 1/N; alg621 plot(X,Y), hold on ylabel('h=1/5'), pause N = 4; h = 1/N; alg621 plot(X,Y,'k') ylabel('h=1/4'), pause N = 3; h = 1/N; alg621 plot(X,Y,'m') ylabel('h=1/4'), pause N = 2; h = 1/N; alg621 plot(X,Y,'r') ylabel('h=1/2'), pause