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MathGroup Archive 2005

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Re: Plotting g(x,y) along contour of f(x,y)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg57120] Re: [mg57116] Plotting g(x,y) along contour of f(x,y)
  • From: Chris Chiasson <chris.chiasson at gmail.com>
  • Date: Mon, 16 May 2005 21:35:19 -0400 (EDT)
  • References: <200505161106.HAA09340@smc.vnet.net>
  • Reply-to: Chris Chiasson <chris.chiasson at gmail.com>
  • Sender: owner-wri-mathgroup at wolfram.com

There appear to be two solutions for y. You might wish to use contour
plot instead of implicit plot. If you supply the values of u that you
would like to use, people might be able to help you with the plotting.

eqns={u==Cos[x]+0.3*(y-0.1*Cos[x])^2,
phi==0.36 (y-0.1 Cos[x])^2+(-Sin[x]+0.06 (y-0.1 Cos[x]) Sin[x])^2}
eqns[[2]]/.Solve[eqns[[1]],y]

On 5/16/05, Niels L. Ellegaard <gnalle at ruc.dk> wrote:
> 
> Dear great masters
> 
> I have two functions u(x,y) and phi(x,y) defined by
> u = Cos[x] + 0.3*(y-0.1*Cos[x])^2;
> phi=0.36 (y - 0.1 Cos[x])^2  + (-Sin[x] + 0.06 (y - 0.1 Cos[x]) Sin[x])^2;
> 
> For some limited parameterinterval I can invert u with respect to y to
> get a function yy(x,uu) fulfilling
> 
> u(x,yy(x,u)) = u(x,y)
> 
> I would like to choose 3 values of u and draw graphs of
> phi(x,yy(x,u)). I have a feeling that I should use implicitplot to do
> this, but I am stuck and I would be grateful for a few hints.
> 
>                         Thanks in advance
> 
>                                 Niels
> 
> 


-- 
Chris Chiasson
http://chrischiasson.com/
1 (810) 265-3161


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