Use the Fourier integral transforms of this section to solve the given boundary-value problem. Make assumptions about boundedness where necessary. Find the temperature u(x, t) in a semi-infinite rod if the following is true. u(0, t) = 0, t>O, 6, 0 1 u(x, 0) = {6 = 6C u(x, t) = da Use the Fourier integral transforms of this section to solve the given boundary-value problem. Make assumptions about boundedness where necessary. Find the temperature u(x, t) in a semi-infinite rod if the following is true. u(0, t) = 0, t>O, 6, 0 1 u(x, 0) = {6 = 6C u(x, t) = da