The Two Dimensional Wave Equation in Polar Coordinates Is
A)

question 32

Multiple Choice

The two dimensional wave equation in polar coordinates is

• A) \(a ^ { 2 } \left( \frac { \partial ^ { 2 } y } { \partial r ^ { 2 } } - \frac { 1 } { r } \frac { \partial u } { \partial r } + \frac { 1 } { r ^ { 2 } } \frac { \partial ^ { 2 } u } { \partial \theta ^ { 2 } } \right) = \frac { \partial ^ { 2 } u } { \partial t ^ { 2 } }\)
• B) \(a ^ { 2 } \left( \frac { \partial ^ { 2 } y } { \partial r ^ { 2 } } + \frac { 1 } { r } \frac { \partial u } { \partial r } - \frac { 1 } { r ^ { 2 } } \frac { \partial ^ { 2 } u } { \partial \theta ^ { 2 } } \right) = \frac { \partial ^ { 2 } u } { \partial t ^ { 2 } }\)
• C) \(a ^ { 2 } \left( \frac { \partial ^ { 2 } y } { \partial r ^ { 2 } } + \frac { 1 } { r } \frac { \partial u } { \partial r } + \frac { 1 } { r ^ { 2 } } \frac { \partial ^ { 2 } u } { \partial \theta ^ { 2 } } \right) = \frac { \partial ^ { 2 } u } { \partial t ^ { 2 } }\)
• D) \(a ^ { 2 } \left( \frac { \partial ^ { 2 } y } { \partial r ^ { 2 } } + \frac { 1 } { r ^ { 2 } } \frac { \partial u } { \partial r } + \frac { 1 } { r } \frac { \partial ^ { 2 } u } { \partial \theta ^ { 2 } } \right) = \frac { \partial ^ { 2 } u } { \partial t ^ { 2 } }\)
• E) \(a ^ { 2 } \left( \frac { \partial ^ { 2 } y } { \partial r ^ { 2 } } + \frac { 1 } { r ^ { 2 } } \frac { \partial u } { \partial r } - \frac { 1 } { r } \frac { \partial ^ { 2 } u } { \partial \theta ^ { 2 } } \right) = \frac { \partial ^ { 2 } u } { \partial t ^ { 2 } }\)

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