How to plot the solution?
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syms L
e = exp(sym(1));
lags = 0;
k1 = 3;
k_1 = 1;
k2 = 2.5;
k3 = 1;
k_3 = 1;
k4 = 2;
k5 = 1;
E1 = 1;
E2 = 2;
K1 = (k_1+k2)/k1;
K2 = (k_3+k4)/k3;
a = -(k5*E1)^2;
b = -k3*E2-(k5*E1)^(2)*(k_1+k_3+k2+k4+k1*E1);
c = k3*E2*(k_1+k2+k4+k1*E1)+(k5*E1)^(2)*(k1*k2*E1+(k_3+k4)*(k_1+k2+k1*E1));
d = k3*E2*k4*(k_1+k2)+k1*k3*E1*E2*(k2+k4)+k1*k2*k5^2*E1^3*(k_3+k4);
h = k5*E1;
f = k5*E1*(k_1+k_3+k2+k4+k3*E2);
g = k5*E1*(k_1+k2)*(k_3+k2+k3*E2);
eqn = (a*L^3+b*L^2-c*L-d)-(h*L^2+f*L+g)*e^(-L*lags);
vpasolve(eqn)
Accepted Answer
Torsten
on 5 Aug 2022
syms L lags
e = exp(sym(1));
k1 = 3;
k_1 = 1;
k2 = 2.5;
k3 = 1;
k_3 = 1;
k4 = 2;
k5 = 1;
E1 = 1;
E2 = 2;
K1 = (k_1+k2)/k1;
K2 = (k_3+k4)/k3;
a = -(k5*E1)^2;
b = -k3*E2-(k5*E1)^(2)*(k_1+k_3+k2+k4+k1*E1);
c = k3*E2*(k_1+k2+k4+k1*E1)+(k5*E1)^(2)*(k1*k2*E1+(k_3+k4)*(k_1+k2+k1*E1));
d = k3*E2*k4*(k_1+k2)+k1*k3*E1*E2*(k2+k4)+k1*k2*k5^2*E1^3*(k_3+k4);
h = k5*E1;
f = k5*E1*(k_1+k_3+k2+k4+k3*E2);
g = k5*E1*(k_1+k2)*(k_3+k2+k3*E2);
eqn = (a*L^3+b*L^2-c*L-d)-(h*L^2+f*L+g)*e^(-L*lags);
lags_num = 0.01:0.01:0.18;
for i=1:numel(lags_num)
L_num(i) = double(vpasolve(subs(eqn,lags,lags_num(i))));
end
plot(lags_num,L_num)
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