Let us consider the PDE Uxx + Utt - Ux + uz = x²t3 With the initial conditions u(x, 0) = 0 , u¿(x,0) = 1. If we use Laplace transform for this PDE, which of the following will be the coefficient of U(x, s)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let us consider the PDE
Uxx + Utt – U + u, = x²t3
With the initial conditions u(x, 0) = 0 , u¿(x, 0) = 1.
If we use Laplace transform for this PDE, which of the following will be the coefficient of U(x, s)?
A
s2 - s
B
s2 + s
C
-s2 – s
-s2 + s
E
s2 + s3
Transcribed Image Text:Let us consider the PDE Uxx + Utt – U + u, = x²t3 With the initial conditions u(x, 0) = 0 , u¿(x, 0) = 1. If we use Laplace transform for this PDE, which of the following will be the coefficient of U(x, s)? A s2 - s B s2 + s C -s2 – s -s2 + s E s2 + s3
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