Determine u(x,t) for the problem below: a²u a²u (0 < x < 16,t > 0 əx² u(0, t) = u(16, t) = 0, t>0 u(x,0) = 0, ди(х, 0) at2 (0 < x < 16) = 2x – 1 əx -32 u(x,t) = > Зпл [31(-1)" + 1]sen (x) sen (t) 3n²n² n=1 O b. 32 [1 – 33(-1)"]se (x) sen 3nn u(x,t) = L5n²n² n=1 32 25пл u(x, t) = [1 – 33(-1)"]sen () se sen 5n2n² 16 n=1 Od. -32 [31(-1)" + 1]sen (x) nn 5nn u(x, t) = 16) 3n²n² \16 n=1 00 '5nn u(x, t) = >: 32 [1– 33(-1)"]sen(G*): x) sen 16 5n²n² 16 n=1
Determine u(x,t) for the problem below: a²u a²u (0 < x < 16,t > 0 əx² u(0, t) = u(16, t) = 0, t>0 u(x,0) = 0, ди(х, 0) at2 (0 < x < 16) = 2x – 1 əx -32 u(x,t) = > Зпл [31(-1)" + 1]sen (x) sen (t) 3n²n² n=1 O b. 32 [1 – 33(-1)"]se (x) sen 3nn u(x,t) = L5n²n² n=1 32 25пл u(x, t) = [1 – 33(-1)"]sen () se sen 5n2n² 16 n=1 Od. -32 [31(-1)" + 1]sen (x) nn 5nn u(x, t) = 16) 3n²n² \16 n=1 00 '5nn u(x, t) = >: 32 [1– 33(-1)"]sen(G*): x) sen 16 5n²n² 16 n=1
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
Problem 29E
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