Partial differential equation Applications 29 ,

Описание: Partial Differential Equations Applications (PDE) 29 , #partialdifferentialequations , #partialdifferentialequation , #applicationsofpartialdifferentialequations , #importantapplicationsofpde , #pde , #problemswithsolutionsinpde , #heatequation , #onedimensionalheatequation , basic conditions ,
#derivationofonedimensionalheatequation ,
Problems with steady state condition and non-zero boundary values. ,
The ends 𝑨 and 𝑩 of a rod 𝒍 cm long have their temperatures kept at 𝟑𝟎𝟎𝒄 and 𝟖𝟎𝟎𝒄 and steady state conditions prevail. The temperature of the end 𝑩 is suddenly reduced to 𝟔𝟎𝟎𝒄 and that of 𝑨 is increased to 𝟒𝟎𝟎𝒄. Find the temperature distribution in the rod after time 𝒕.

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