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MathGroup Archive 2010

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Change of function in an ODE

  • To: mathgroup at smc.vnet.net
  • Subject: [mg109043] Change of function in an ODE
  • From: Sam Takoy <sam.takoy at yahoo.com>
  • Date: Sun, 11 Apr 2010 04:32:53 -0400 (EDT)

Hi,

I'm solving
DSolve[r^4 R''''[r] + 2 r^3 R'''[r] - r^2 R''[r] + r R'[r] -
     L^4 r^4 R[r] == 0, R[r], r] // Simplify

Now, I would like to make the substitution  R[r]=r^2 Log[r] G[r], 
formulate the equation for G[r] and solve it. What's the proper syntax 
for that?

Thanks,

Sam


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