Question: # 5: Consider the wave equation with the given conditions: =81. t>0,0 Consider the wave equation with the given conditions: 62 u t2 X2 ,

# 5: Consider the wave equation with the given conditions: =81. t>0,0

Consider the wave equation with the given conditions: 62 u t2 X2 , u(0,t) = = 0, u(x, 0) = 0, 8(-1/1 sin(nx/5) ut(x, 0) = h(x) n The solution to the above boundary value problem has the form g(n, t) sin(nx/5) u(x,t) (a) Find the value of g(5, 0). (b) Find the value of g(5, r/ 2).

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