solve-the-initial-boundary-value-problem-of-wave-equation-2-u-x-t-t-2-9-2-u-x-t-x-2-0-lt-x-lt-2-t-gt-0-u-0-t-1-u-2-t-3-t-gt-0-u-x-0-2-0-lt-x-lt-2-u-t-x-0-sin2x-0-lt-x-lt-2-

Question Number 113271 by mathdave last updated on 12/Sep/20

s o l v e t h e i n i t i a l b o u n d a r y v a l u e

p r o b l e m o f w a v e e q u a t i o n

\frac{\partial^{2} u (x, t)}{\partial t^{2}} = 9 \frac{\partial^{2} u (x, t)}{\partial x^{2}}, 0 < x < 2, t > 0

u (0, t) = 1, u (2, t) = 3, t > 0

u (x, 0) = 2, 0 < x < 2

\frac{\partial u}{\partial t} (x, 0) = \sin 2 x, 0 < x < 2