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(Solved): 16:33 51 Assignment1.pdf Cape Peninsula University of Technology EMA471S/EMA470S Lecturer: D. Ebrahi ...



16:33 51 Assignment1.pdf Cape Peninsula University of Technology EMA471S/EMA470S Lecturer: D. Ebrahim Handin Assignment: Partial Differential Equations. Please submit your PDF assignment on blackboard, due date : .12/03/2024 No late or email submissions will be accepted QUESTION 1 [20] A metal bar, insulated along its sides, is 5 m long. It is initially at room temperature of 40 C and at time

t=0

, the ends are placed into ice at 0 C . Find an expression for the temperature at a point P at a distance m from one end at any time t seconds after

t=0

. The heat conduction equations is below:

(del^(2)u)/(del^(2)x)=(1)/(c^(2))(delu)/(delt)

3.1 List each boundary condition in mathematical format. (3) 3.2 Determine the solution of the heat conduction equation using the boundary conditions. (17)



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