4.2 Find the solution subject to the following boundary and initial conditions of the heat equation, u = a²uxx- (b) u(0, t) = u(2,t) = 0, u(x,0) [1 if 0

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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4.2 Find the solution subject to the following boundary and initial conditions
of the heat equation, ut = a²uxx-
(b) u(0, t) = u(2,t) = 0, u(r,0) =
1
if 0<x<1
if 1 < x < 2
Transcribed Image Text:4.2 Find the solution subject to the following boundary and initial conditions of the heat equation, ut = a²uxx- (b) u(0, t) = u(2,t) = 0, u(r,0) = 1 if 0<x<1 if 1 < x < 2
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