Question: Problem 1. (10 points) Solve the 2D wave equation of a rectangular vibrating membrane L92 2A U 00. Problem 3. (10 points) Solve the following

Problem 1. (10 points) Solve the 2D wave equation of a rectangular vibrating membrane L92\" 2A U 00. Problem 3. (10 points) Solve the following PDE in a rectangular region (3a (921:. 3213 =1\" k2 fl :. L. [l H. 8:1:28r2+ 3y? "~ 0.13:2 > [L initial condition M93. in 0) = x. its). and boundary,r conditions 1;.(0Jg;.t)=0, 1i(LJy,t) =0, i'(m u. i) =0 (;r,H,t) = I)

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