Question: 6. (15 pts) Use the Maximum/Minimum Principles to deduce that the solution u of the problem = uku 0x 0, u(0,t)=0, u(T,t)=0, u(x, 0)

6. (15 pts) Use the Maximum/Minimum Principles to deduce that the solution u of the problem = uku 0x 0, u(0,t)=0, u(T,t)=0, u(x, 0) = sin x + sin(2x) satisfies 0 u(x,t) 3 for all 0 x and t 0.

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