1. Solve the boundary value problem y'' + 2y' + y = 0 with boundary conditions y(0) = 0 and y(1) = 1 using the finite difference method. Write a matlab code that will take as input the number of segments n and will output y(x). Plot the solution for 4, 10, 14 and 20 segments.

Explain the difference laminar and turbulent flow. explain it with the shear stress and the velocity profiles.

If the thermal strain developed in polyimide film during deposition is given as 0.0044. assume room temperature is kept at 17.3 c, and thermal coefficient of expansion for the film and the substrate are 54 x 10^-6c^-1 and 3.3 x 10^-6c^-1respectively. calculate the deposition temperature.

Refrigerant 134a enters an insulated compressor operating at steady state as saturated vapor at -26°c with a volumetric flow rate of 0.18 m3/s. refrigerant exits at 9 bar, 70°c. changes in kinetic and potential energy from inlet to exit can be ignored. determine the volumetric flow rate at the exit, in m3/s, and the compressor power, in kw.