solve the initial boundary value problem of wave equation ((∂^2 u(x,t))/∂t^2 )=9((∂^2 u(x,t))/∂x^2 ),0<x<2,t>0 u(0,t)=1,u(2,t)=3,t>0 u(x,0)=2,0<x<2 (∂u/∂t)(x,0)=sin2x,0<x<2


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

$s o l v e t h e i n i t i a l b o u n d a r y v a l u e$ $p r o b l e m o f w a v e e q u a t i o n$ $\frac{\partial^{2} u (x, t)}{\partial t^{2}} = 9 \frac{\partial^{2} u (x, t)}{\partial x^{2}}, 0 < x < 2, t > 0$ $u (0, t) = 1, u (2, t) = 3, t > 0$ $u (x, 0) = 2, 0 < x < 2$ $\frac{\partial u}{\partial t} (x, 0) = \sin 2 x, 0 < x < 2$
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