Answer to Question #283547 in Differential Equations for Anu

Question #283547

a) A rod of length 𝐿 has its ends 𝐴 and 𝐡 maintained at 20 °𝐢 and 40 °𝐢 respectively



until steady state condition prevail. The temperature at 𝐴 is suddenly raised to



50 °𝐢 while that at 𝐡 is lowered to 10 °𝐢 and maintained thereafter. Find the



subsequent temperature distribution of the rod.




b) Solve (π‘₯



2 βˆ’ 𝑦



2 βˆ’ 𝑧



2



)𝑝 + (2π‘₯𝑦) π‘ž = 2π‘₯𝑧 where 𝑝 =



πœ•π‘§



πœ•π‘₯ , π‘ž =



πœ•π‘§



πœ•π‘¦

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