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EGM 4313.Quiz2.Extra - Find the appropriate function and...

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EGM 4313, Mikolaitis, Spring 2011 – Quiz 2 Extra Points NAME:___________________________ 10 minutes – open book – closed notes – no calculators The following is an unsteady one-dimensional heat conduction problem with non- homogeneous boundary conditions . Such problems are solved by writing where is a solution of an unsteady one-dimensional heat equation with homogeneous boundary conditions.
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Unformatted text preview: Find the appropriate function and the partial differential equation for along with its boundary and initial conditions for this problem. Do not solve for ! Solution: You will want to satisfy the heat equation and meet the non-homogeneous boundary conditions, hence Now will satisfy and the homogeneous boundary conditions The initial condition is found thusly:...
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