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

Question

Quizplus · Accepted Answer

The Answer is B

Which of the Following Is a Solution to the Wave ∂2y∂x2=1v2∂2y∂t2\frac{\partial^{2} y}{\partial x^{2}}=\frac{1}{v^{2}} \frac{\partial^{2} y}{\partial t^{2}}∂x2∂2y​=v21​∂t2∂2y​

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