I need to plot solid/black, solid/red, dashed/black and dashed/red for x1 x2 x3 and x4. How can I plot dash?

PHI = @(t) [ 1, t, t/3-(2*exp(-3*t))/9+2/9, (2*t)/3+(2*exp(-3*t))/9-2/9;

0, 1, (5*exp(-3*t))/12-(3*exp(t))/4+1/3, 2/3-exp(t)/4-(5*exp(-3*t))/12;

0, 0, exp(-3*t)/4+(3*exp(t))/4, exp(t)/4-exp(-3*t)/4;

0, 0, (3*exp(t))/4-(3*exp(-3*t))/4, (3*exp(-3*t))/4+exp(t)/4];

PHIT = @(t) transpose(PHI(t));

B=[0;1;2;1];

BT=transpose(B);

GRAMi = @(t) PHI(-t)*B*BT*PHIT(-t);

GRAMfinal = @(t) integral(GRAMi, 0, t, 'ArrayValued',1)

%InGRAMfinal = @(t) inv(GRAMfinal(t));

X0=[0;2;0;1];

t=1;

A= GRAMfinal(t)

B=inv(A)

UT= @(t) -(BT*PHIT(-t)*B(1)*X0);

TUT = @(t) 2*(-(BT*PHIT(-t)*B(1)*X0));

syms x1(t) x2(t) x3(t) x4(t)

ode1 = diff(x1) == 1*x2 + 1*x3;

ode2 = diff(x2) == -2*x3 + 1*x4 +UT;

ode3 = diff(x3) == 1*x4 + TUT;

ode4 = diff(x4) == 3*x3 + (-2)*x4 + UT;

odes = [ode1; ode2; ode3; ode4]

S = dsolve(odes)

x1Sol(t) = S.x1

x2Sol(t) = S.x2

x3Sol(t) = S.x3

x4Sol(t) = S.x4

cond1 = x1(0) == 0;

cond2 = x2(0) == 2;

cond3 = x3(0) == 0;

cond4 = x4(0) == 1;

conds = [cond1; cond2; cond3; cond4];

[x1Sol(t), x2Sol(t),x3Sol(t) , x4Sol(t)] = dsolve(odes,conds)

t=0:0.001:1;

grid on

hold on

plot(t,x1Sol(t),'black', 'linewidth' ,2)

hold on

plot(t,x2Sol(t), 'red','linewidth' ,2)

hold on

plot(t,x3Sol(t), 'black','linewidth' ,2)

hold on

plot(t,x4Sol(t),'red','linewidth' ,2)

hold on

xlabel('t [0,1]')

ylabel('Four components of the state x1, x2, x3 and x4')

Answer 1

[Star Strider]

Try this:

plot(t,x1Sol(t),'black', 'linewidth' ,2) 
hold on
plot(t,x2Sol(t), 'red','linewidth' ,2) 

plot(t,x3Sol(t), '--black','linewidth' ,2) 

plot(t,x4Sol(t),'--red','linewidth' ,2)
hold off
xlabel('t [0,1]')
ylabel('Four components of the state x1, x2, x3 and x4')

See the plot documentation on LineStyle for more information.