1. Determine the displacement u(x; t) of systems modelled by the following differential equations azu azu (а) ;0 0 ax? at2 subject to u(x; t) = 0 , u(n; t) = 0 ,t > 0 au u(x; 0) = 0 , = sinx It=0 at...

1. Determine the displacement u(x; t) of systems modelled by the following<br>differential equations<br>azu<br>azu<br>(а)<br>;0<x <n , t> 0<br>ax?<br>at2<br>subject to<br>u(x; t) = 0 ,<br>u(n; t) = 0 ,t > 0<br>au<br>u(x; 0) = 0 ,<br>= sinx<br>It=0<br>at<br>a2u<br>(b)<br>a²u<br>;0<x<1 , t >0<br>ax2<br>at2<br>subject to<br>u(x; t) = 0 , u(1; t) = 0 , t > 0<br>u(x; 0) =<br>ди<br>= sinx ,<br>= 0<br>t=0<br>at<br>

Extracted text: 1. Determine the displacement u(x; t) of systems modelled by the following differential equations azu azu (а) ;0 0 ax? at2 subject to u(x; t) = 0 , u(n; t) = 0 ,t > 0 au u(x; 0) = 0 , = sinx It=0 at a2u (b) a²u ;0<><1 ,="" t="">0 ax2 at2 subject to u(x; t) = 0 , u(1; t) = 0 , t > 0 u(x; 0) = ди = sinx , = 0 t=0 at

Jun 04, 2022

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1. Determine the displacement u(x; t) of systems modelled by the following differential equations azu azu (а) ;0 0 ax? at2 subject to u(x; t) = 0 , u(n; t) = 0 ,t > 0 au u(x; 0) = 0 , = sinx It=0 at...

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