(a) Solve the wave equation in three dimensions for t > 0

Chapter 9, Problem 7

(choose chapter or problem)

(a) Solve the wave equation in three dimensions for t > 0 with the initial conditions (x)= A for|x| < , (x)=0 for|x| > ,and |x|0,whereAisaconstant.(Thisissomewhatliketheplucked string.) (Hint: Differentiate the solution in Exercise 6(b).) (b) Sketchtheregionsinspace-timethatillustrateyouranswer.Where does the solution have jump discontinuities? (c) Let |x0|

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