Change in debye's result of specific heat for unequal longitudinal and transverse velocity in the lecture for simplicity the velocity of longitudinal and transverse waves were considered equal (a) consider the velocities for longitudinal and transverse mode is different and repeat the calculation. briefly describe the change in the results.

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x, y,t)along the plate at any time t. b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax