[seqfan] Closed Form Solution to Special Diff Eq?

[Paul D Hanna]

Seqfans, 
      Is there a closed form for the solution A(x) to this differential equation?
 
2*A(x)*A(4x) + 8*x*A(x)*A'(4x) - A'(x)*A(4x) = 0
 
A power series solution exists, but can it be expressed finitely in terms of known functions? 
      Paul