How can I numerically solve the dispersion equation below using matlab?

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Ravi Verma

You have to define the other variables such as h1, Ct1,...etc. Can you provide more information about these variables.

Ramin Moradi

which is the unknown variable? If it is w, and it is the function of k, you can spread it in the main equation and solve based on K using solve command or fsolve command. I think if you search these two commands on the net, you can find the solution for your equation to how to write and solve it for which variable.