Which of the Following Is a Solution to the Wave $\frac { \partial ^ { 2 } y } { \partial x ^ { 2 } } = \frac { 1 } { v ^ { 2 } } \frac { \partial ^ { 2 } y } { \partial t ^ { 2 } }$

question 36

Multiple Choice

Which of the following is a solution to the wave equation, $\frac { \partial ^ { 2 } y } { \partial x ^ { 2 } } = \frac { 1 } { v ^ { 2 } } \frac { \partial ^ { 2 } y } { \partial t ^ { 2 } }$ ?

• A) \(\frac { e ^ { - x } } { x } \sin x\)
• B)(cos kx)(sin \( \omega \)t)
• C)e ^{- x} sin \( \omega \)t
• D)e ^{- x} sin (kx - \( \omega \)t)
• E)e ^{- x} cos t

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