題組內容

4. Consider the heat equation with a negative source:

ut = - 6x, 0 ＜ x ＜ 1, t ＞ 0

u(0, t) = u(1, t) = 0

u(x, 0) = u0, 0 ＜ x ＜ 1

where u0 ＞ 0 is a constant

(a)Find the steady-state solution