# Solving the linear equation with using Maple

• Jul 9th 2014, 03:31 PM
grandy
Solving the linear equation with using Maple
Using maple I am trying to solve for q from this big linear equation.

\frac{\gamma*q*P_Q}{k_p*(1-q)*P_C} = \frac{I*\alpha}{k_f+k_d+\frac{k_n*\lambda_b*\gamma *q*P_Q}{\lambda_b*\gamma*q*P_Q+k_p*\lambda_r*(1-q)^2}+k_p*(1-q)}

Values of parameters are given below:
$I=1200$
$k_f = 6.7*10.^7$
$k_d = 6.03*10.^8$
$k_n = 2.92*10.^9$
$k_p = 4.94*10.^9$
$\alpha = 1.14437*10.^(-3)$
$\lambda_b = 0.87e-2$
$\lambda_r = 835$
$\gamma = 2.74$
$P_C = 3*10.^11$
$P_Q = 2.87*10.^10$

=>
I tried in maple does not work.
Code:

  k_f = 6.7*10.^7;     I=1200;     k_d = 6.03*10.^8;     k_n = 2.92*10.^9;     k_p = 4.94*10.^9;     alpha = 1.14437*10.^(-3);     lambda_b = 0.87e-2;     lambda_r = 835;     gamma = 2.74;     P_C = 3*10.^11;     P_Q = 2.87*10.^10;             (gamma*q*P_Q)/(k_p*(1-q)*P_C) = I*alpha/(k_f+k_d+k_n*lambda_b*gamma*q*P_Q/(lambda_b*gamma*q*P_Q+k_p*lambda_r*(1-q)^2)+k_p*(1-q));
I even tried in Matlab with fzero function solver, still does not works.
• Jul 12th 2014, 01:33 PM
Rebesques
Re: Solving the linear equation with using Maple
This equation is not linear, of course. Mathcad returns the following:

http://oi58.tinypic.com/117z0k6.jpg