Bessel differential equation



> From:  esvax
> 
> But I don't know how I can solve following easy system in Maxima:
> DSolve[{x^2 y''[x] + x y'[x]  + (x^2 m^2 - k0^2) y[x] == a z'[x],
>         x^2 z''[x] + x z'[x]  + (x^2 m^2 - k0^2) z[x] == b y'[x]}, 
> {y, z}, x]

Vasiliy,

Maxima cannot solve this problem directly.

You might find the solution by guessing an ansatz based on the solutions
to
  x^2 y''[x] + x y'[x]  + (x^2 m^2 - k0^2) y[x] == 0
  x^2 z''[x] + x z'[x]  + (x^2 m^2 - k0^2) z[x] == 0

I don't have any references for this type of problem.

Good luck,

	David

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