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MathGroup Archive 2005

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MeijerG again

  • To: mathgroup at smc.vnet.net
  • Subject: [mg55688] MeijerG again
  • From: "Zakir F. Seidov" <seidov at bgumail.bgu.ac.il>
  • Date: Sun, 3 Apr 2005 05:50:56 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Dear Mathematica gurus!
I need to solve (a rather simple?) ODE:
DSolve[{Sin[t]*f''[t]+Cos[t]*f'[t]+3/4*Sin[t]*f[t]== 
0}, f[t], t] 
Mathematica 4 gives:
{{f[t] ->C[1]*Hypergeometric2F1[-(1/4), 3/4, 1, Sin[t]^2] +C[2]*MeijerG[{{},{1/4, 5/4}},{{0, 0},{}},Sin[t]^2]}}
It's OK, but I need initial conditions: f[-Pi/2]=1 and f'[-Pi/2]=0.
Mathematica 4 refuses to find C[1] and C[2].
Pleeeese HHHEEELLLPPP!!!


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