Amass of 2 kg stretches a spring 4 cm. there is no external force and the mass moves in a medium that impacts a viscous force of 2 n when the speed of the mass is 2 cm/s. if the mass is set in motion from position 1 cm below equilibrium with an initial velocity of 3 cm/s formulate the initial value problem for the motion of the mass x(t). determine the frequency, period, amplitude, and phase of the motion.

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