How can I solve these diff equations?

Hello,

I tried and searched all day, but I couldn't achieve to solve these differential equations simultaneously.

Is there anyone who can help me please?

%Define the properties
syms x Pr %Pr: P0/P

%Initial inputs
E = -.5;
FA0 = 2*10^-5; FB0 = FA0;
FA = FA0*(1-x); FB = FB0-FA0*x;
FC = FA0*x;
v0 = 2.83*10^-7; v = v0*(1+E*x)*Pr;
CA = FA/v; CB = FB/v; CC = FC/v;
A = 3.55*10^-5;
k = .004;
rA = -k*CA*CB;

%Differential eqns
dxdW = rA/FA0;
dPrdW = -A/2*(1+E*x)/Pr;

[Star Strider]

What are ‘x’ and ‘W’? Is ‘W’ a function of ‘x’?

[Burak]

Normally, we take derivatives of x and Pr with respect to W. All relation between Pr and x is W which is function of both Pr and x: x(W), Pr(W).

However, I know that W is constant according to question.

x is conversion of reaction along the PBR reactor, and Pr is the ratio of P0/P