(Ma) A rectangular plate of dimensions Lx = 2 and Ly = 1 is heated initially at a uniform temperature T(x, y) =T₀ = 100⁰C

a) Compute the evolution of the temperature distribution on the plate when all the

borders are kept at a constant temperature of T₀ = 0⁰C

b) Repeat the computations, but now assume that the upper border is kept completely insulated, i.e. the gradient of temperature is zero, while the rest of the borders are maintained at a constant temperature of T₀ = 0⁰C

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