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In: Advanced Math

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

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

u(x,0) ={2x/π , 0 < x < π/2}

u(x,0) ={1 , π/2 < x < π}

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