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Why can't I solve this ODE set?


I have trouble using DSolve to solve this ODE set:
DSolve[{y''[
     r] + (1/r + 2 I p) y'[r] + (-2 h + 2/r - m^2/r^2 - p^2) y[r] == 
   2 a z[r], 
  z''[r] + (1/r - 2 I p) z'[r] + (-2 h + 2/r - m^2/r^2 - p^2) z[r] == 
   2 a y[r]}, {y, z}, r]
I mean, Mathematica gives me the same form as my input. But 
DSolve[y''[r] + (1/r + 2 I p) y'[r] + (-2 h + 2/r - m^2/r^2 - p^2) y[
     r] == 2 a z[r], y, r]
and
DSolve[z''[r] + (1/r - 2 I p) z'[r] + (-2 h + 2/r - m^2/r^2 - p^2) z[
     r] == 2 a y[r], z, r]
are OK. How should I make it?



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