the temperature of both end of a uniform metal bar is maintained at 0⁰C. its length is 10 units. The temperature of the bar is modeled by the equation, dT(x,t)/dt = 4 d²T(x,t)/dx². Determine T(x,t) given that at t = 0 the temperature dependence of the bar is T(x,0) = x(10-x).
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