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a²y azy C2 for 0 < x < L,t >0 %3D at2 y(0,t) = y(L,t) = 0 For t > 0 For 0sxs5 y(x, 0) = f(x) = L L - x For

a²y azy C2 for 0 < x < L,t >0 %3D at2 y(0,t) = y(L,t) = 0 For t > 0 For 0sxs5 y(x, 0) = f(x) = L L - x For

Advanced Engineering Mathematics
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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Q4) Solve the following partial differential equation: for 0 < x <L,t >0 at2 ax? y(0,t) = y(L,t) = 0 For t >0 For 0sxs L-x For sxsL y(x,0) = f(x) =
Transcribed Image Text:Q4) Solve the following partial differential equation: for 0 < x <L,t >0 at2 ax? y(0,t) = y(L,t) = 0 For t >0 For 0sxs L-x For sxsL y(x,0) = f(x) =
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