How to solve two second order partial differential equations simultaneously?

How to solve two second order partial differential equations simultaneously?

[Jan]

What have you tried so far and which problems occur? What are the shown symbols?

Answer 1

[Torsten]

Solve the first equation for d^2s/dx^2 and insert the expression in the second equation:

(1+rho)/alpha * d^2s/dx^2 - (zeta+(1+rho)*beta/alpha)*t(s,theta)=-V(x)

delta * d^2theta/dx^2 = (-V(x) + (zeta+(1+rho)*beta/alpha)*t(s,theta))*alpha/(1+rho)-beta*t(s,theta)

Now use "bvp4c" to solve.

Best wishes

Torsten.