Concept explainers
If there is a heat transfer from the lateral surface of a thin wire of length L into a medium at constant temperature um, then the heat equation takes on the form
where h is a constant. Find the temperature u(x, t) if the initial temperature is a constant u0 throughout and the ends x = 0 and x = L are insulated.
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Differential Equations with Boundary-Value Problems (MindTap Course List)
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,