4. The Initial heat profile of a zero bordar rod of langth L = 2 m 13 u(x, 0). Tne aquation modalling the haat flow is givan by l, = (0, 2u,x tor this rod. Calculate the solution to this partial diffarantial aquation using the appropriate initial heat profila if the two options balow ara givan: ux, 0) = 0.4 sin| + 0, 2sin( x) – 0. Isin( ulx.0) = 1+0.4c0(x) -0. cos |-0. lcos지

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Engineering Math Q4

4. Tha Initial hoat profile o a zero border rod of langth L = 2 m 1 u(x, 0). Tna oquation modelling
the hat low is glvan by Ul; = (0. 2u,x tor this rod. Calculate the solution to this partial difforantial
aquation using the appropriate Initial heat profila i the two options below ara givan.
ux, 0) = 0,4 sin
+0.2sin(x x) – 0. Isin(
u x, 0) = 1 + 0.4 cos
|- 0. Icos
Transcribed Image Text:4. Tha Initial hoat profile o a zero border rod of langth L = 2 m 1 u(x, 0). Tna oquation modelling the hat low is glvan by Ul; = (0. 2u,x tor this rod. Calculate the solution to this partial difforantial aquation using the appropriate Initial heat profila i the two options below ara givan. ux, 0) = 0,4 sin +0.2sin(x x) – 0. Isin( u x, 0) = 1 + 0.4 cos |- 0. Icos
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