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In: Advanced Math

Solve the wave equation, a2  ∂2u ∂x2 = ∂2u ∂t2 0 < x < L, t...

Solve the wave equation, a2  ∂2u ∂x2 = ∂2u ∂t2 0 < x < L, t > 0 (see (1) in Section 12.4) subject to the given conditions. u(0, t) = 0, u(π, t) = 0, t > 0 u(x, 0) = 0.01 sin(9πx), ∂u ∂t t = 0 = 0, 0 < x < π u(x, t) = + ∞ n = 1

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