Consider the one-space dimensional heat equation for a temperature function u(t, x), which is given by du = kazu. A. The one-space dimensional heat equation describes systems in three-dimesional space, where the temperature depends on only one space coordinate. OB. The one-space dimensional heat equation describes only one-dimensional objects, which do not exist in nature, because objects in nature are three-dimensional. OC. The boundary condition u(t,0) = 0 means that there is no heat flux entering or leaving the system for all times at x = 0. OD. The boundary condition du(t, L) = 0 means that there is no heat flux entering or leaving the system for all times at x = L. OE. The boundary condition u(t,0) = 0 means that the temperature of the system for all time is zero at x = 0. OF. The boundary condition du(t, L) = 0 means that the temperature of the system for all time is zero at x = L. Note: Select all the true statements. If you miss one correct answer, the problem will display all answers as incorrect.
Consider the one-space dimensional heat equation for a temperature function u(t, x), which is given by du = kazu. A. The one-space dimensional heat equation describes systems in three-dimesional space, where the temperature depends on only one space coordinate. OB. The one-space dimensional heat equation describes only one-dimensional objects, which do not exist in nature, because objects in nature are three-dimensional. OC. The boundary condition u(t,0) = 0 means that there is no heat flux entering or leaving the system for all times at x = 0. OD. The boundary condition du(t, L) = 0 means that there is no heat flux entering or leaving the system for all times at x = L. OE. The boundary condition u(t,0) = 0 means that the temperature of the system for all time is zero at x = 0. OF. The boundary condition du(t, L) = 0 means that the temperature of the system for all time is zero at x = L. Note: Select all the true statements. If you miss one correct answer, the problem will display all answers as incorrect.
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Select all true statements.
Transcribed Image Text:Consider the one-space dimensional heat equation for a temperature function u(t, x), which is given by du = kazu.
A. The one-space dimensional heat equation describes systems in three-dimesional space, where the temperature depends
on only one space coordinate.
B. The one-space dimensional heat equation describes only one-dimensional objects, which do not exist in nature, because
objects in nature are three-dimensional.
OC. The boundary condition u(t,0) = 0 means that there is no heat flux entering or leaving the system for all times at x = 0.
D. The boundary condition du(t, L): = 0 means that there is no heat flux entering or leaving the system for all times at
x = L.
OE. The boundary condition u(t,0) = 0 means that the temperature of the system for all time is zero at x = 0.
OF. The boundary condition du(t, L) 0 means that the temperature of the system for all time is zero at x = L.
=
Note: Select all the true statements. If you miss one correct answer, the problem will display all answers as incorrect.
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