Question

derivation of all formula of heat
pls answer it fast

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Answer 1

Answer:

We will now derive the heat equationwith an external source, ut = α2uxx + F(x, t), 0 <x<L, t> 0, where u is the temperature in a rod of length L, α2 is a diffusion coefficient, and F(x, t) represents an external heat source.

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Answer 2

Explanation:

We will now derive the heat equation with an external source, ut = α2uxx + F(x, t), 0 <x<L, t> 0, where u is the temperature in a rod of length L, α2 is a diffusion coefficient, and F(x, t) represents an external heat source. We begin with the following assumptions: The rod is made of a homogeneous material.