function [ dxdt ] = exocstrStateFcnCT(x,u)
% Continuous-time state equations for the exothermic CSTR
%
% The states of the CSTR model are:
%
%   x(1) = T        Reactor temperature [K]
%   x(2) = CA       Concentration of A in reactor tank [kgmol/m^3]
%
% The inputs of the CSTR model are:
%
%   u(1) = T_c      Jacket coolant temperature [K]
%   u(2) = CA_i     Concentration of A in inlet feed stream [kgmol/m^3]
%   u(3) = T_i      Inlet feed stream temperature [K]

    % states
    T = x(1);
    CA = x(2);
    % inputs
    T_c = u(1);
    CA_i = u(2);
    T_i = u(3);
    % parameters
    FoV = 1;
    UA = 0.3;
    Hr = -11.92;
    k0 = 27944640;      % intentional modeling error with truth of 34930800
    EaR = 5894.14;      % intentional modeling error with truth of 5963.6
    % state equations
    k = k0*exp(-EaR/T);
    r = k*CA;
    dxdt = [FoV*(T_i - T) + UA*(T_c - T) - Hr*r; FoV*(CA_i - CA) - r];

end