(1 pt) Use Laplace transforms to solve the following heat problem: HI - WxX = 0 u(x, 0) = 10e- u(0, 1) = 10 lim u(x, t) = 0 X-+00 u(x, 1) = -10 . + The result will be the sum of a convolution and a second function of x and t, as suggested by the form of the solution given above