clear all
close all
clc

set(gca,'FontSize',18)

linewidth = 2;

t = 0:0.1:5;

c = [-4,-3,-2,-1,-0.7,-0,5,-0.2,-0.1,-0.05,0,4,3,2,1,0.7,0,5,0.2,0.1,0.05];

for count = 1:length(c)
plot(c(count)*exp(t),t,'Linewidth',linewidth)
hold on
end
xlabel('x')
ylabel('t')
set(gca,'XTick',[-5:2:5])
axis([-5,5,0,5])
hold off

print -djpeg characteristic_linear1


figure

x = -5:0.1:5;
t = 0:0.1:3;
u = zeros(length(x),length(t));

for j = 1:length(t);
u(:,j) = exp(-(x.*exp(-t(j))).^2);
end

set(gca,'FontSize',18)
waterfall(x,t,u.')
xlabel('x')
ylabel('t')
zlabel('u')
%axis([-5,5,0,5,0,1])

print -djpeg waterfall_linear1