plotting a function with different constant values without specifying the variable

Hello, I am trying to plot the Boltzmann Distribution function with different temperatures in the same graph without specifying the variable. Here, the variable of the function is velocity (v), and the others are constant. Please help me with your suggestions.

Thank you in advance

syms f(v)
m = 2.32*10^-26;
kb = 1.38*10^-23;
T = [77 293 393 1273 2273];
for i = i:length(T)
f = sqrt(m/(2*pi*kb*T(i)))*exp(-1*m*v^2/(2*kb*T(i)));
end
ezplot(f)

Answer 1

[Star Strider]

I have no idea what range of values ‘v’ is supposed to have here, however ezsurf (or fsurf) may be appropriate —

syms v T 
m = 2.32E-26;
kb = 1.38E-23;
Tv = [77 293 393 1273 2273];
% for i = i:length(T)
f(T,v) = sqrt(m/(2*pi*kb*T))*exp(-1*m*v^2/(2*kb*T));
% end

figure
ezsurf(f,[Tv(1) Tv(end) 0 1000])

Experiment to get different results.

.

[Hasan Al Tarify]

Thank you for your response

what I am looking for is that the T here is constant so the f is only a function of variable v, which has no specific range of values. Therefore, the plot should be between f and v only, not in 3D plot.

[Star Strider]

O.K.

That was not obvious.

syms v T 
m = 2.32E-26;
kb = 1.38E-23;
Tv = [77 293 393 1273 2273];
% for i = i:length(T)
f(v,T) = sqrt(m/(2*pi*kb*T))*exp(-1*m*v^2/(2*kb*T));
% end

NrSp = numel(Tv);

figure
for k = 1:NrSp
    subplot(NrSp,1,k)
    ezplot(f(v,Tv(k)),[0 500])
    grid
    title(sprintf('T = %4d',Tv(k)))
%     ylim([0 2])
end

Experiment to get different results.

.

[Hasan Al Tarify]

it worked, thank you

[Star Strider]

My pleasure!

If my Answer helped you solve your problem, please Accept it!

.