2)a? u(x,t) / ôt² = 9 ð² u(x,t) / dx² (-0∞ < x 0)Solve the partial differential equationu(x, 0) = 4eSlxld u/ dt (x,0)=0Obtain using the Fourier transform with initialwww wwwwww wwAwwwwww wconditions.

Answered: Image /qna-images/answer/a61e941e-78f0-45d6-8357-4a0a35af578d.jpg

2) a² u(x,t) / at² = 9 d² u(x,t) / dx² (-0∞ < x < 00 ,t >0) Solve the partial differential equation u(x, 0) = 4e*5lxl d u/ ðt (x,0)=0 Obtain using the Fourier transform with initial conditions.

2) a² u(x,t) / at² = 9 d² u(x,t) / dx² (-0∞ < x < 00 ,t >0) Solve the partial differential equation u(x, 0) = 4e*5lxl d u/ ðt (x,0)=0 Obtain using the Fourier transform with initial conditions.

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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2)
a? u(x,t) / ôt² = 9 ð² u(x,t) / dx² (-0∞ < x <o,t >0)
Solve the partial differential equation
u(x, 0) = 4eSlxl
d u/ dt (x,0)=0
Obtain using the Fourier transform with initial
www wwww
ww ww
Awwwwww w
conditions.

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