find numerical solution of a function

Hi everyone,

I need to find the numerical solution for my parameter (V) of the following function that does not have an explicit analytical resolution:

I know the range of the solution of my parameter (between 0 and 10) so I was thinking to define a linspace vecotr for V and then find the possible roots of my function. How do I do that? Are there better methods?

Thank you in advance for your help!

Answer 1

[Matt J]

Use fzero:

   V=fzero(@yourFunction, [0,10])

[letoppina]

it's not working. Can you show me how to code it?

Answer 2

[Torsten]

f0=...;
R=...;
alpha=...;
C0=...;
gamma0=...;
r=...;
L=...;
beta=...;
omega=...;
yourFunction = @(V)4*f0*R*alpha-V*alpha/C0-V*alpha*(1-gamma0*exp(-r/(2*L*omega)*atan(beta/(L*omega*V*alpha)))*sqrt(1+(beta/(L*omega*V*alpha))^2));
V=fzero(yourFunction, [0,10])