I have a set of two equations with three variables u,o,d
. I want to eliminate either u
or d
from these equations.
2 (1 + u^2/d^2)^(1/4) == Sqrt[d] ((1 + (o - u)^2/d^2)^(1/4) + (1 + (o + u)^2/d^2)^(1/4))
2/3 (1/d)^(3/2) == (1/(4 d)) \[Pi] (o (-(1 + (o - u)^2/d^2)^(1/4) + (1 + (o + u)^2/d^2)^(1/4)) + u ((1 + (o - u)^2/d^2)^(1/4) + (1 + (o + u)^2/d^2)^(1/4)) + d ((1 + (o - u)^2/d^2)^(3/4) - (1 + (o + u)^2/d^2)^(3/4)))
So far I have tried using Eliminate
, Reduce
, Solve
. After failing to get any output after several minutes, I eventually have to abort the evaluation. I cannot even seem to simplify these equations further. Any idea on how I can proceed? (Edit: My goal is to obtain a plot of u and d vs o.)