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Math Help - Solving the linear equation with using Maple

  1. #1
    Junior Member
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    Solving the linear equation with using Maple

    Using maple I am trying to solve for q from this big linear equation.
    \begin{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)}
    \end{equation}
    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.
    Last edited by grandy; July 9th 2014 at 04:27 PM.
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  2. #2
    Super Member Rebesques's Avatar
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    Re: Solving the linear equation with using Maple

    This equation is not linear, of course. Mathcad returns the following:



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