(a) Find characteristics for the PDE describing u(t, x) for t ≤ R and ± € R J²u 8²u J²u + Ət² Ətər 0х2 2 =t hence find that the general solution (b) Find the solution that satisfies the initial conditions u(0,r) = 0, u₁(0,x) = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a) Find characteristics for the PDE describing u(t, x) for t€ R and à ¤ R
8² u
J²u
J²u
Ət²
Ətəx
ər²
t
hence find that the general solution
(b) Find the solution that satisfies the initial conditions
u(0,r) = 0, u₁(0, x) = 0.
Transcribed Image Text:(a) Find characteristics for the PDE describing u(t, x) for t€ R and à ¤ R 8² u J²u J²u Ət² Ətəx ər² t hence find that the general solution (b) Find the solution that satisfies the initial conditions u(0,r) = 0, u₁(0, x) = 0.
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