3) Solve the following heat equations: part a) Find the solution u(t,x) to 2εu = 4uxx t>o, Oo u(0,x)=2x-1 06x-1 part 5) Find the solution u(t,x) to ·2tu = 44xx t70, Ocxcl ux (+, 0) = ux (+1)=0 t>o 4(0,x) = x² 06X61
3) Solve the following heat equations: part a) Find the solution u(t,x) to 2εu = 4uxx t>o, Oo u(0,x)=2x-1 06x-1 part 5) Find the solution u(t,x) to ·2tu = 44xx t70, Ocxcl ux (+, 0) = ux (+1)=0 t>o 4(0,x) = x² 06X61
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3) Solve the following heat equations:
part a) Find the solution u(t,x) to
2εu = 4uxx
t>o, O<x<\
u(t, 0) = u(t, 1) =0
t>o
u(0,x)=2x-1
06x-1
part 5) Find the solution u(t,x) to
·2tu = 44xx
t70, Ocxcl
ux (+, 0) = ux (+1)=0
t>o
4(0,x) = x²
06X61
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