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3. consider 1d transient heat conduction along a thin rod 0...

# Question: consider 1d transient heat conduction along a thin rod 0...

###### Question details

Consider 1D transient heat conduction along a thin rod (0 ≤ x ≤ 2 ).

$\frac{\partial T}{\partial t}=3\frac{{\partial }^{2}T}{\partial {x}^{2}}$

The boundary conditions are T = 0 at x = 0, 2 .

The initial condition is  T = x     0≤x≤1,  T = 2-x    1≤x≤2.

Determine T.