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26. If u(x, t) satisfies the heat equation in an infinite rod, du Pu (c = 2) at 1 -1 1, u(x,0) = then u(x,t) = sin w (cos wx)e¬4w²t А. *dw w 2 В. cos w (sin wx)e¬4wt w dw 2 С. cos w (cos wx)e¬4wʻt dw w 2 D. sin w (sin wz)e¬4wt dw w 2 Е. COS w (cos wx)e¬4wt dw w² +1

26. If u(x, t) satisfies the heat equation in an infinite rod, du Pu (c = 2) at 1 -1 1, u(x,0) = then u(x,t) = sin w (cos wx)e¬4w²t А. *dw w 2 В. cos w (sin wx)e¬4wt w dw 2 С. cos w (cos wx)e¬4wʻt dw w 2 D. sin w (sin wz)e¬4wt dw w 2 Е. COS w (cos wx)e¬4wt dw w² +1

Advanced Engineering Mathematics
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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26. If u(x, t) satisfies the heat equation in an infinite rod, du at Əx² (c = 2) 1 -1< x < 1 0 r| > 1, u(x,0) = then u(x,t) = 2 A. T Jo sin w (cos wx)e¬4w²t dw w 2 cos w -(sin wx)e¬4wtdw w 2 C. T Jo cos w (cos wx)e¬dw*tdw w 2 D. sin w (sin wx)e¬4wt dw w 2 Е. Cos w (cos wr)e¬4wt du w² + 1 B.
Transcribed Image Text:26. If u(x, t) satisfies the heat equation in an infinite rod, du at Əx² (c = 2) 1 -1< x < 1 0 r| > 1, u(x,0) = then u(x,t) = 2 A. T Jo sin w (cos wx)e¬4w²t dw w 2 cos w -(sin wx)e¬4wtdw w 2 C. T Jo cos w (cos wx)e¬dw*tdw w 2 D. sin w (sin wx)e¬4wt dw w 2 Е. Cos w (cos wr)e¬4wt du w² + 1 B.
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