Why can't I solve this ODE set?

• To: mathgroup at smc.vnet.net
• Subject: [mg132735] Why can't I solve this ODE set?
• From: Neo Sherrington <sh785144557 at gmail.com>
• Date: Mon, 19 May 2014 02:04:31 -0400 (EDT)
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```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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