Consider a metal rod (0 < x < l), insulated along its
Chapter 4, Problem 4.2(choose chapter or problem)
Consider a metal rod (0 < x < l), insulated along its sides but not at its ends,whichisinitiallyattemperature=1.Suddenlybothendsareplunged into a bath of temperature=0. Write the differential equation, boundary conditions, and initial condition. Write the formula for the temperature u(x, t) at later times. In this problem, assume the innite series expansion 1= 4 sin x l + 1 3 sin 3x l + 1 5 sin 5x l +
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