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Solving Differential Equations as functions - Combined Heat Transfer

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Hello,

 

I am currently looking at combined heat transfer (radiation - convection - conduction).  When radiation is considered, the differential equation becomes non-linear, and thus I figured using MathCad would be great for solving the DEQ as a function of parameters. 

 

As a note, the text I am using/refering to is: Thermal Radiation Heat Transfer 5th Ed. by Howell & Siegel, Chapter 7. 

This chapter is mainly dealing with numerical solutions and setting up the equations, but I would like to know how to solve them using MathCad.

 

Attached is a worksheet and a few pictures of the example problems I am trying to solve, in which there is a graph showing the solutions.  I am hoping I can get Mathcad to solve the equations as a function of parameters.


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