%% ecc diff lineales

clearvars;
close all;
clc;

%% definimos variables
t = 0:0.1:5;
N = length(t);

%constantes
C = 3;

yc = C*exp(-t);
yp = 1 - t;
y  = C*exp(-t) + 1 - t;


figure(1)
plot(t,yc);
title('solución complementaria');
xlabel('t (s)')
ylabel('y_c(t) (m)');
legend('y_c(t)');
grid on;
box on;

figure(2)
plot(t,yp);
title('solución particular');
xlabel('t (s)')
ylabel('y_p(t) (m)');
legend('y_p(t)');
grid on;
box on;

figure(3)
plot(t,y);
title('solución');
xlabel('t (s)')
ylabel('y(t) (m)');
legend('y(t)');
grid on;
box on;

figure(4)
plot(t,y, t,yc, t,yp);
title('solución');
xlabel('t (s)')
ylabel('y(t) (m)');
legend('y(t)','y_c(t)','y_p(t)');
grid on;
box on;