Solution of nonlineal coupled system of Differential Equations

Hello everyone! In the framework of a project I have to solve this system of equations

(1)a(d^3 θ)/(dε^3 )-(T/L)dθ/dε+wLcos(θ)=0

(2) dT/dε=wLsin(θ)

(a,L,w : known constants) (θ,T :unknown functions)

with boundary conditions

θ(0)=0 & dθ/dε(ε=0)=0 & θ(1)=θ0 & T(0)=Τ0

Because I am new in Matlab I am struggling about how to formulate the problem. For any help and direction I would be grateful.

Thank you in advance

George