How can I solve two non linear differential equations with coupled boundary conditions ?

I have 2 differential equations like y'' = 5*exp(y) 0<x<2 y'' = 5*exp(y)- 15 -0.1<x<0 and boundary conditions are- at x= -0.1, y'=0 . at x= 2, y'=0 . at x=0, y and y' are continous.

I cannot figure out how to proceed as the boundary condition at x=0 is coupled.