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categoryرياضيات schoolبكالوريوس event_available2026-07-15

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(1 point) Consider the Boundary-Initial Value problem 2 a²u ди дх² 0 < x < 9, t> 0 , dt u(0,t) = 0, u(9,t) = 0, t>0 u(x, 0) = x(9 − x), 0 < x <9 This models a heated wire, with zero endpoints temperatures. The solution u(x, t) of the initial-boundary value problem is given by the series where bn and = Cn = 8 u(x,t): = 3. b, sin (2n-1)x) e-c π n=1

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