Suppose heat is lost from the lateral surface of a thin rod of length L into a surrounding medium at temperature zero. If the linear law of heat transfer applies, then the heat equation has the form hu ,00 with h a constant. Find the temperature u(r,t) if the initial temperature is f(r) throughout and the ends r = 0 and z= L are held at temperature zero.
Suppose heat is lost from the lateral surface of a thin rod of length L into a surrounding medium at temperature zero. If the linear law of heat transfer applies, then the heat equation has the form hu ,00 with h a constant. Find the temperature u(r,t) if the initial temperature is f(r) throughout and the ends r = 0 and z= L are held at temperature zero.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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