Answer Happy

The answer above is NOT correct. (1 point) Use the Laplace transform to find the temperature u(x, t) in a semi-infinite thin 1D rod with insulated lateral surface if: a u(0,t) = 65 for t > 0, u(x,0) = 0 for x > 0. Use k for the thermal diffusivity of the rod. Enter the solution in s-space. You do NOT need to take the inverse transform. U(x, 8) = (65/5)^(((-sqrt(5))/k)x) s e = (Try taking the inverse Laplace transforms. While most MATLAB versions can't do it, Mathematica (or Wolfram Alpha) typically can and gives back an expression involving the complementary error function Erfc; see Section 15.1 in your book.)