Recent content by wel

The 3 nonlinear differential equations are as follows \begin{equation} \epsilon \frac{dc}{dt}=\alpha I + \ c (-K_F - K_D-K_N s-K_P(1-q)), \nonumber \end{equation} \begin{equation} \frac{ds}{dt}= \lambda_b P_C \ \epsilon \ c (1-s)- \lambda_r (1-q) \ s, \nonumber \end{equation}...

Two M-files one contains differential equations and another one to run and plot the graphs. since i am using ode solver, it has two files to run. THERE ARE 4 MATLAB CODES WITH 4 SEPARATE MATLAB M-FLIES BUT 2 M-FILES TO PRODUCE 3 PLOTS AND ANOTHER 2 M-FILES TO PRODUCE ANOTHER 3 GRAPHS. BUT I...

Since i am using MATLAB ode23s solver, it contains two MATLAB files . One contain the differential equations and another contains plotting and to run the m-files. The code are working perfectly. Now i want to know the time step size that is using on the plot. How can i get the output of time...

I can not find any scientific papers from your link. A paper is from thins model: simple model of light use in Photosystem II. Reference: A. Porcar-Castell, J. Back, E. Juurola, and P. Hari. Dynamics of the energy flow through photosystem ii under changing light conditions: a model approach...

Hi everyone. I am doing research about what happens to light energy after it has been absorbed by a leaf but before it has been used in the photosysnthetic reactions. For that I need to use system of 3 nonlinear ordinary differential equations. My dissertation title is : A hybrid numerical...

Thank you very much the Electrician.

From the Electrician answer, His final answer must equal to zero. then the denominator will goes off and i only have to collect the powers in the numerator bit.

I don't have Mathematica and not familiar with it. Could you please try with this equation in Mathematic and tell me what you get. \begin{equation} [(k_f+k_d+k_p*(1-q))(\lambda_b* \gamma *q*P_Q+k_p*\lambda_r*(1-q)^2)+k_n*\lambda_b*\gamma*q*P_Q]*(\gamma*q*P_Q) - (I*\alpha)(\lambda_b* \gamma...

If i divide top and bottom by {\lambda_b* \gamma *q*P_Q+k_p*\lambda_r*(1-q)^2} then i get: \begin{equation} \frac{\gamma*q*P_Q}{k_p*(1-q)*P_C} = \frac{(I*\alpha)(\lambda_b* \gamma *q*P_Q+k_p*\lambda_r*(1-q)^2)} {(k_f+k_d+k_p*(1-q))(\lambda_b* \gamma...

multiply both numerator and denominator by λb∗γ∗q∗PQ+kp∗λr∗(1−q)2 in both sides?

Using the maple I am trying to get quardic in q from this big linear equation. Then use Descarte’s rule of signs to determine the number of positive roots. \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...

I am trying to solve 3 differentail equations(Lorenz equations) using ode solver: ode23s in Matlab. Here are the 3 lorenz equations: dc/dt= alpha*I*(1-c) + c*(- k_f - k_d - k_n * s - k_p*(1-q)) ds/dt = lambda_b * c* P_C *(1-s)- lambda_r *(1-q)*s dq/dt = (1-q)* k_p * c *(P_C /...

I am trying to solve 3 non-linear system of 3 variables using the Newton-raphson method in matlab. Here are the 3 non-linear equations: \begin{equation} c[\alpha I+ k_f+k_d+k_ns+k_p(1-q)]-I \alpha =0 \end{equation} \begin{equation} s[\lambda_b c P_C +\lambda_r (1-q)]- \lambda_b c P_C =0...

I need to calculate by hand without any mathematical software. that's the reason i am having difficulty. please help me.

The three non-linear equations are given by \begin{equation} c[(6.7 * 10^8) + (1.2 * 10^8)s+(1-q)(2.6*10^8)]-0.00114532=0 \end{equation} \begin{equation} s[2.001 *c + 835(1-q)]-2.001*c =0 \end{equation} \begin{equation} q[2.73 + (5.98*10^{10})c]-(5.98 *10^{10})c =0 \end{equation} Using...