Consider the equation ut = Uxx, 0 0. Suppose u(0, t) = 0, u(1, t) = 0. Suppose u(x, 0) = 1 sin(wx) + 3 sin(27x) + 7 sin(37x) + 12 sin(4Tx) Fill in the constants in the solution: u(x, t) = e n't sin(Trac) + e-(27)'t sin(27ac) + e-(37)'t sin (3Tac) + e-(47)'t sin( 47rac) help (numbers)