Determine a particular solution u (x, t) for Subject to u(0, t) = 0 = u (L,t); u (x, 0) = 0; a²u at² a²u == x²; 0 Ju (x,0) at = 1 With the general solution u (x,t) = (A cos wx + B sin wx) (C cos wx + D sin wx)

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Chapter1: Chemical Foundations
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Determine a particular solution u (x, t) for
Subject to u(0, t) = 0 = u (L,t); u (x, 0) = 0;
a²u
at²
a²u
==
x²; <x<1;t>0
Ju (x,0)
at
= 1
With the general solution u (x,t) = (A cos wx + B sin wx) (C cos wx + D sin wx)
Transcribed Image Text:Determine a particular solution u (x, t) for Subject to u(0, t) = 0 = u (L,t); u (x, 0) = 0; a²u at² a²u == x²; <x<1;t>0 Ju (x,0) at = 1 With the general solution u (x,t) = (A cos wx + B sin wx) (C cos wx + D sin wx)
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