Consider the equation ut = Uxx, 0 0. Suppose u(0, t) = 0, u(1, t) = 0. Suppose u(x, 0) = -3 sin(x) + 2 sin(2πx) + 3 sin(3πx) + 4 sin(4x) Fill in the constants in the solution: u(x, t) help (numbers) = e -² sin(x) + е (2) ² sin(2x) + e (37) sin(3πx) + e-(4) sin(4x)

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