How can I solve this system of ODEs involving both time and space?

Hi, I have this complicated system of ODEs (see attached file), whose equations depend on time and space.

I have no idea how to represent and solve it.

Thank you in advance!

Answer 1

[Chaitanya Mallela]

• Create symbolic functions y1, y2, y3 with space and time as independent variables.
• Use diff function to represent ODE(s) and
• Use dsolve function to solve the ODE(s).