````
NDSolve[{(2 π ϵ Cos[2 π x] Sech[κ + ϵ κ Sin[2 π x]]^2 (2 κ + 2 ϵ κ Sin[2 π x] - 
         Sinh[2 κ (1 + ϵ Sin[2 π x])]))/(κ (1 + ϵ Sin[2 π x])^2) + 
         4 π ϵ Cos[2 π x] (1 + ϵ Sin[2 π x])^2 Derivative[1][p][x] + 
         2/3 (1 + ϵ Sin[2 π x])^3 (p'')[x] == 0, 
  p[0] == 0, p[1] == 0}, p, x, 
  Method -> {"Shooting", "StartingInitialConditions" -> {p[0] == 0, p'[0] == 1}}]
````

On running this code, the error getting displayed is 
> NDSolve::ndnum: Encountered non-numerical value for a derivative at x == 0.