Solve the heat equation u = 12u, 'XX' u(x,0)=(x-8). 8 ○ Au(x, t) = 2/7/7 | e-120²₁ sin[(x-8)]d w. 2A 88 OB. None of these. 8 Ocu(x, t)=1/√e-120² 88 88 -∞00, 8 -12 at OD u(x, t) = Je-12 cos[axx-8)]da. π 98 ○ E. u(x, t) = 177 Je-12 at cos[axx-8)]da. -12ax cos[ax(x+8)]d w.

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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Solve the heat equation
U; = 12u,
– c∞ <x < O, t>0,
%3D
XX
u(x,0)=6(x-8).
8.
O A U(x,t) =
[ e-12@?4
sin[@(x– 8)]d w.
-88
O B. None of these.
CO
O cU(x,f) = S
1 [e-12@1 cos[ax – 8)]dw.
8.
O D U(X,f) = = Je
1 ſe-12ar cos[@x - 8)]d ).
-Co
CO
OE Ux,t) = Je-12 cos[@x+ 8)]d w.
-8.
Transcribed Image Text:Solve the heat equation U; = 12u, – c∞ <x < O, t>0, %3D XX u(x,0)=6(x-8). 8. O A U(x,t) = [ e-12@?4 sin[@(x– 8)]d w. -88 O B. None of these. CO O cU(x,f) = S 1 [e-12@1 cos[ax – 8)]dw. 8. O D U(X,f) = = Je 1 ſe-12ar cos[@x - 8)]d ). -Co CO OE Ux,t) = Je-12 cos[@x+ 8)]d w. -8.
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