Mathematics · Partial Differential Equations
Let u(x, t) be a solution to the following initial value problem: ∂2u/∂t2 - ∂2u/∂x2 = 0, with initial conditions u(x, 0) = x2 and ∂u/∂t(x, 0) = 0. Find the value of u(0, 1).
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