The wave equation is
A) $\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } + \frac { \partial ^ { 2 } u } { \partial y ^ { 2 } } = 0$
B) $\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } - \frac { \partial ^ { 2 } u } { \partial t ^ { 2 } } = 0$
C) $\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } = \frac { \partial u } { \partial y }$
D) $\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } + \frac { \partial u } { \partial t } = 0$
E) $\frac { \partial u } { \partial x } - \frac { \partial u } { \partial t } = 0$

Question

Quizplus · Accepted Answer

The correct wave equation in one spatial dimension is given by $\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } - \frac { \partial ^ { 2 } u } { \partial t ^ { 2 } } = 0$, which describes how waves propagate through a medium.

The Wave Equation Is A) ∂2u∂x2+∂2u∂y2=0\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } + \frac { \partial ^ { 2 } u } { \partial y ^ { 2 } } = 0∂x2∂2u​+∂y2∂2u​=0

The Wave Equation Is
A) $\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } + \frac { \partial ^ { 2 } u } { \partial y ^ { 2 } } = 0$