MathGroup Archive 2008

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Given function of single parameter function, to find function and

By what Mathematica procedures is it possible to solve for function f
and the parameter/argument linking relation UV [u,v] = 0 from a given
relation f[v]=  4 f[u]^3 - 3 f[u] ? Known answer for this case is
function f = cos, argument link relation v =3 u respectively.

For another simpler case f(u)^2 + f(v)^2 =1, one solution is u + v =
(2 k-1) pi/2, for f = cos or sin.

Best Regards


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