Let u = (x,t) represent the temperature of a hose with length L. The temperature with t= 0 is u(x,0) = x/L (1-(x/L)) 0<=x<=L temperature at the hose-ends is constnat u(0,t) = u(L,t) = 0    t>0 t inside the hose differs by the equation ut = α2uxx  , 00            α = constant use method with seperation of variables to determine u = u(x,t) when t>0

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