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Why can't I solve this ODE set?
Posted:
May 19, 2014 2:04 AM


I tried to use Mathematica to solve this OED 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] . But as I input it, nothing works. Mathematica just give back the same equations to me. Interestingly, either of the 2 equations can be solved separately, including the other in its expression. I mean: 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], r] 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], r] /. y[r] > % . Would anybody please help me, or explain why this phenomenon occurs?



