3- Determine the type of the singularity of f(z) sin (z) (Z-TC) 3x 4- Determine a such that the given function is harmonic u = e³x cos (ay). 5- Find the possible values of a and b in the expression u(x, t) = cos (at) sin (bx) such that it satisfies the wave equation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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sin (z)
3- Determine the type of the singularity of f(z) = (Z-TC)
4- Determine a such that the given function is harmonic u = e³x cos (ay).
5- Find the possible values of a and b in the expression
u(x, t) = cos (at) sin (bx)
such that it satisfies the wave equation.
Transcribed Image Text:sin (z) 3- Determine the type of the singularity of f(z) = (Z-TC) 4- Determine a such that the given function is harmonic u = e³x cos (ay). 5- Find the possible values of a and b in the expression u(x, t) = cos (at) sin (bx) such that it satisfies the wave equation.
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