Given function of single parameter function, to find function and

*To*: mathgroup at smc.vnet.net*Subject*: [mg90785] Given function of single parameter function, to find function and*From*: Narasimham <mathma18 at hotmail.com>*Date*: Thu, 24 Jul 2008 04:52:34 -0400 (EDT)

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 Narasimham