9. 1. Solve the Dirichlet problem for the Heat Equation:

: ,

Initial condition:

Boundary conditions: , (Dirichlet)

(Dirichlet)

2. Sketch the graph of solution for L=3 and a=0.1 and initial conditions:

a)

b)

c) cc)

3. Observe the Maximum principle for the Dirichlet problem for the Heat Equation