Question: 4. Let u C((-1, 1) (0,2]) nC([-1, 1] [0, 2]) be a solution of the following 1-D heat equation: U = 2uxx u(x,0)=1-x u(-1,t)=1-et

4. Let u C((-1, 1) (0,2]) nC([-1, 1] [0, 2]) be a

4. Let u C((-1, 1) (0,2]) nC([-1, 1] [0, 2]) be a solution of the following 1-D heat equation: U = 2uxx u(x,0)=1-x u(-1,t)=1-et u(1, t) = 2t-t2 Find max u(x, t) and min_u(x, t). (x,t)ER (x,t) R in R=(-1,1) (0,2) in [1,1] in [0.2] in [0,2]

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