7. Consider the Initial Boundary Value Problem Ut = 7uxx ux(0, t) = u(0, π) u(x,0) = x² Find a. lim fu(x, t)dx t→∞ b. lim u(2, t) t→∞ x = [0, π], t > 0, 0 - x³ TT ) t> 0 , x = [0, π]

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