(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have a problem in solving a system of two ODEs for BVP

1. Pb is function of X & A

2. A is a function of X,Pb,A

3. BCs are

X = 1, Pb = 0, A = 0.441

X = 0, Pb = 0

Q is a variable to achieve the other end BC

I have tried to use ODE solvers in matlab. But I couldnt get proper results by considering it as IVP.

2. Relevant equations

dPbdX = (-(1.6+0.2*X^2)/(1.6+0.4*X^2)*(sqrt(3)*(1-A)^2)-Q)*(0.3/(sqrt(3)*(sqrt(3)*(1-A)^2)^2))

dAdX = (0.4*X*(((2-(1-A)*Pb)/A)-Pb)*(-0.86*A^2+0.345*A+0.515))/((0.08+0.02*X^2)*(2-(((2-(1-A)*Pb)/A)-Pb)*(1/(2.571-A-A*ln(1-A)))))

How to use Shooting method for this problem?

I would appreciate for giving me a helping hand to solve this problem.

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# Homework Help: Help needed for solving BVP for a system of ODEs

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