implicit function
- To: mathgroup at smc.vnet.net
- Subject: [mg109673] implicit function
- From: Karpenko Alexey <illlefr4u at gmail.com>
- Date: Tue, 11 May 2010 06:28:22 -0400 (EDT)
Hi. Im newbie in Mathematica Product. I need to draw graph of implicit function. Implicit function have integral,and argument in lower case of it.
How can i do this in Mathematica 7.0?
functions:
x(b,t)=(sqrt(3)-sqrt(3-2b^2*sin^2(t)))/(sqrt(3)+sqrt(3-2b^2*sin^2(t)))
Phi(x(b,t))=(1+x)^3*(1-x)*e^(-x)
and general equation is (implicit function for t1):
integral_t1^pi/2{Phi(x(b,t))*sin(t)dt}=1/2*integral_0^pi/2{Phi(x(b,t))*sin(t)dt}
b in [0,1], t in [0, pi/2]
sorry 4 my bad english.
thank you.
With best regards, Karpenko Alexey.