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Problem solving system of ODE

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Hello everyone, i hope all are having a great day.

I started this discussion because im having a little problem solving a system of 2 ordinary diff eqs.
Im not defining a function for t or x because theres not a way to put this in function of w.Also I dont know if i define w with a random numer and t and x with random functions would affect the final result. I just want to solve the differential eqs. I defined r(w) for example for simplicity.

 

The problem im trying to solve is for chemical engineering. Its about solving the mass and heat differnetial eq simultaneously. Heres the document.

Thanks for your time


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