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  3. solve the wave equation ∂2u/∂t2 = 4 â

Solve the wave equation ∂2u/∂t2 = 4 ∂2u/∂x2 , 0 < x < 2, t >...

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Advance Math

Solve the wave equation
∂2u/∂t2 = 4 ∂2u/∂x2 , 0 < x < 2, t > 0

subject to the following boundary and initial conditions.
u(0, t) = 0, u(2, t) = 0,
u(x, 0) = { x, 0 < x ≤ 1
2 − x, 1 < x < 2 , ut(x, 0) = 0

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