Decompose this 2nd order differential equaion into a system of 1st order differe

Question

Decompose this 2nd order differential equaion into a system of 1st order differential equations.

h= heat transfer coefficient

k= thermal conductivity

P=perimeter of the cross-sectional area

A= cross-sectional area

T(inf)=is the ambient temperature

Decompose this 2nd order differential equaion into a system of 1st order differential equations. curly^2T/curly x^2 = hP/kA(T - T infinity) h= heat transfer coefficient k= thermal conductivity P=perimeter of the cross-sectional area A= cross-sectional area T(inf)=is the ambient temperature

Explanation / Answer

integrate this equation once you get:

dT/dx = (hP/kA)( T - Tinfinity)

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