2. Solve the wave equation c2 dy? in two dimensional rectangular region 0


2. Solve the wave equation<br>c2<br>dy?<br>in two dimensional rectangular region 0 < x < L, 0 < y < H, subject to the<br>initial conditions<br>du<br>(x, y, 0) = f(x, y)<br>u(х, у, 0) — 0,<br>and the following boundary conditions:<br>a)<br>и(0, у, t) %3 0,<br>u(L, y, t) 3 0, u(х, 0, 6) — 0, и(, H, €) %3D 0<br>b)<br>du<br>ди<br>u(0, y, t) = 0, u(L, y, t) = 0,<br>(x, 0, t) = 0,<br>dy<br>(a, H, t) = 0<br>dy<br>

Extracted text: 2. Solve the wave equation c2 dy? in two dimensional rectangular region 0 < x="">< l,="" 0="">< y="">< h,="" subject="" to="" the="" initial="" conditions="" du="" (x,="" y,="" 0)="f(x," y)="" u(х,="" у,="" 0)="" —="" 0,="" and="" the="" following="" boundary="" conditions:="" a)="" и(0,="" у,="" t)="" %3="" 0,="" u(l,="" y,="" t)="" 3="" 0,="" u(х,="" 0,="" 6)="" —="" 0,="" и(,="" h,="" €)="" %3d="" 0="" b)="" du="" ди="" u(0,="" y,="" t)="0," u(l,="" y,="" t)="0," (x,="" 0,="" t)="0," dy="" (a,="" h,="" t)="0">

Jun 05, 2022
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