Using fzero to solve an equation

I am trying to plot the following equation:

Vm - (S0 - s)/t = Km/t * ln(S0/s)

where Vm, S0, and Km are given constants.

I want to plot s vs.t so I tried using fzero:

 Km = 1.25;
 Vm = 1.5;
 S0 = 5;

fun = @(t,s)(Km/t)*log(S0-s) - Vm + (S0-s)/t;

I am trying to plot over the interval of 0 to 10. How can I make use of fzero syntax to plot this?

Answer 1

[Star Strider]

I defaulted to the Symbolic Math Toolbox to solve this:

syms s t 
Km = 1.25;
Vm = 1.5;
S0 = 5;

eqn = Vm - (S0 - s)/t == Km/t * log(S0/s);
ss = solve(eqn, s);
s_fcn = matlabFunction(ss)

t = linspace(0, 10, 25);

figure(1)
plot(t, s_fcn(t))
grid

s_fcn = @(t)wrightOmega(t.*(-6.0./5.0)+log(4.0)+4.0).*(5.0./4.0);