In the three previous problems, the solution for $u ( x , t )$ is
A) $u = \sin ( \pi x ) \sin ( \pi t )$
B) $u = \sin ( \pi x ) \cos ( \pi t )$
C) $u = \sin ( \pi x ) \cosh ( \pi t )$
D) $u = \cos ( \pi x ) \sinh ( \pi t )$
E) $u = \cos ( \pi x ) \cos ( \pi i )$

Question

Quizplus · Accepted Answer

B) $u = \sin ( \pi x ) \cos ( \pi t )$ is a common form of solution for wave equations and heat equations under certain boundary conditions, representing a wave or temperature distribution that varies sinusoidially in space and cosinusoidally in time.

In the Three Previous Problems, the Solution For u(x,t)u ( x , t )u(x,t)

In the Three Previous Problems, the Solution For $u ( x , t )$