QUESTION 3 (20 MARKS) a) The propagation of a wave u(x, t) in a long cable is described by the U following initial value

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Question 3 20 Marks A The Propagation Of A Wave U X T In A Long Cable Is Described By The U Following Initial Value 1 (92.19 KiB) Viewed 32 times

QUESTION 3 (20 MARKS) a) The propagation of a wave u(x, t) in a long cable is described by the U following initial value problem UTM 64 UTM & UTM & Pu Ət² 3 UTM (3 02 dx2 u(x,0) = cos Tx, u(x,0) = e = 25- -= b) Find the solution for the following wave equation 1 Utt= - Uzz, 0 < x < 4, t > 0, subject to the boundary conditions where -∞ < x <∞o, and t> 0. Find the solution for this problem. (5 marks) u(0,t)= 0, u(4. t)=0, t> 0, and the initial conditions u(r.0) = 0, u₁(x,0) = (x - 1)², by using the method of separation of variables. CREATE PARAMELIGHE 0<x<4 0 < x < 4 LARRY BARAN (15 marks)