AW: implicit function

*To*: mathgroup at smc.vnet.net*Subject*: [mg24244] AW: [mg24218] implicit function*From*: Matthias.Bode at oppenheim.de*Date*: Mon, 3 Jul 2000 20:39:24 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Mr. Sangio Lee wrote: > I'm a graduate student in South Korea for Physics and my name is Sangjo > Lee. > > Following is my problem. > there is one implicit function like this : > ( (1-y) / x + 1/m )^x = y Exp[f(x) z] / m^x where f(x) = 1 + (x > - 1)/( 2( x + 1) ) > x, y is variable and other symbols are constants. > I want to get the numerical y value when x is -10 < x < 10. > > well... > I am looking forward to seeing your e-mail. > Thank you. > > yours Sincerely. > > from S. Korea > Dear Colleague, as m and z are constants I assign them - for example's sake - the values E and Pi respectively; fortunately the rest is almost as simple: m = E; z = Pi; Table[N[Solve[((1 - y)/x + 1/m)^x == (y*Exp[1 + ((x - 1)*z)/ (2*(x + 1))])/m^x, y]], {x, 2, 3}]//Flatten {y -> 0.5582091478296327, y -> 5.397365681566638, y -> 0.5074441647195549, y -> 2.901735402911711 - 3.150434512934943*I, y -> 2.901735402911711 + 3.150434512934943*I} Your function - which I hope I did not misrepresent - does however not appear to be very "smooth". Hoping that the solution is useful nevertheless, I remain Yours sincerely, Matthias Bode