(a) Use finite Fourier transforms to solve (0 0) Pu Ər² subject to and Ju Ət² u = 1-I, du Ət = 0 at t=0, u= 0 on r = 0 and on z = 1.

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Chapter2: Second-order Linear Odes
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Use finite Fourier transforms to solve!!

(a) Use finite Fourier transforms to solve (0<x< 1, t > 0)
Pu
Ər²
subject to
and
²u
Ət²
u=1-r,
du
Ət
= 0 at t=0,
u= 0 on r = 0 and on z = 1.
Transcribed Image Text:(a) Use finite Fourier transforms to solve (0<x< 1, t > 0) Pu Ər² subject to and ²u Ət² u=1-r, du Ət = 0 at t=0, u= 0 on r = 0 and on z = 1.
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