How to plot graph for below mention mathamatical equation

ds/dt =  A-BSI-(gamma+delta+theta+d)S
A=0.7
d=0.06
B=0.35
delta = 0.06
theta=    0.1
S= 20
I= 18
gamma = 0.1

and t= 50maximum

The graph is required to plot ds/dt or S(t) verses t .

[darova]

Can you integrate the equation?

[jaypal singh]

No

[darova]

please?

Answer 1

[Image Analyst]

Try this:

BSI = 1; % Just a guess since it was not specified.
% Define other constants that were given in the question.
A = 0.7
d = 0.06
B = 0.35
delta = 0.06
theta = 0.1
S = 20 % Capital S, not lower case s.  It's a constant.
I = 18
gamma = 0.1
% The derivative (slope) is given as this constant:
dsdt = A-BSI-(gamma+delta+theta+d) * S

% Now integrate dsdt to get S as a function of t.
% First assume some t
t = linspace(-50, 50, 1000);
% Next assume some constant
someConstant = 10; % Whatever. I have no idea.
st = dsdt * t + someConstant;
% Taking the derivative of this st with respect to t will give dsdt.
% Now plot St.
plot(t, st, 'LineWidth', 2);
grid on;
xlabel('t', 'FontSize', 20);
ylabel('s(t)', 'FontSize', 20);

[darova]

It works