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TM2401-PDE_Tutorial.pdf - TM2401 TUTORIAL – PDE 1. Solve u...

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TM2401TUTORIALPDE1. Solvexyyu22y.
2. Determine the first three terms in the series solution fortxu,in the wave equation20030
4. The temperatureTof a long laterally-insulated rod of lengthLand diffusivitykdescribed by the partial differential equationtTkxT122.is.
5. Solve fortxT,in20,122xtTkxTfork=10-4given the following boundary andinitial conditions:(a)0,2,0tTtTandxxTsin1000,(b)0,0tT,100,2tTand4/sin1000,xxT6. Obtain the solution to the Laplace equation02222yuxuwith boundary conditions,
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Partial differential equation, u, u x, t

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