Solving system of ODE with dependent variables

Dear all,

I'm trying to solve a system of two differential equations given as follow:

(1)

(2)

Is there any way I can solve this system of equations using ODE45 or an other solver?

Many thanks in advance;

[Torsten]

What is (are) the independent variable(s) ?

Answer 1

[Sam Chak]

Sounds like a partial differential equations problem. Then you need the pde solver. Read the following article in the link:

https://www.mathworks.com/help/matlab/math/partial-differential-equations.html