The Model Describing the Temperature in a Rod Where the Temperature

question 34

Multiple Choice

The model describing the temperature in a rod where the temperature at the left end is zero and where there is heat transfer from the right boundary into the external medium is

• A) \(k \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } = \frac { \partial ^ { 2 } u } { \partial t ^ { 2 } } , u ( 0 , t ) = 0 , \frac { \partial u } { \partial x } = ( L , t ) = - h u ( L , t ) , h > 0 , u ( x , 0 ) = f ( x )\)
• B) \(k \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } = \frac { \partial ^ { 2 } u } { \partial t ^ { 2 } } , u ( 0 , t ) = 0 , \frac { \partial u } { \partial x } = ( L , t ) = h u ( L , t ) , h > 0 , u ( x , 0 ) = f ( x )\)
• C) \(k \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } = \frac { \partial u } { \partial t } , u ( 0 , t ) = 0 , \frac { \partial u } { \partial x } = ( L , t ) = - h u ( L , t ) , h > 0 , u ( x , 0 ) = f ( x )\)
• D) \(k \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } = \frac { \partial u } { \partial t } , u ( 0 , t ) = 0 , \frac { \partial u } { \partial x } = ( L , t ) = h u ( L , t ) , h > 0 , u ( x , 0 ) = f ( x )\)
• E) \(k \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } + \frac { \partial ^ { 2 } u } { \partial t ^ { 2 } } = 0 , u ( 0 , t ) = 0 , \frac { \partial u } { \partial x } = ( L , t ) = - h u ( L , t ) , h > 0 , u ( x , 0 ) = f ( x )\)

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