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Find an expression for the temperature u(x,t) in a rod of length ?, if the diffusivity...

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Advance Math

Find an expression for the temperature u(x,t) in a rod of length?, if the diffusivity (k) is 1, the ends x= 0 and x=? are boththermally insulated and the initial temperature is given by

u(x,0) ={2x/? , 0 < x < ?/2}

u(x,0) ={1 , ?/2 < x < ?}

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