Once again the equation of motion is given bydv d2v = XXXXXXXXXXv et ay- and the initial and boundary conditions are given by I.C.: att-- 0, vx= 0 for all y XXXXXXXXXXB.C. 1: at y = 0, v, = voNiell...

Once again the equation of motion is given bydv d2v = (4.1-44) v et ay- and the initial and boundary conditions are given by I.C.: att-- 0, vx= 0 for all y (4.1-45) B.C. 1: at y = 0, v, = voNiell for all t > 0 (4.1-46) B.C. 2: at y = co, v, = 0 for all t > 0 (4.1-47)4D.1 Flow near an oscillating wall.' Show, by using Laplace transforms, that the complete solu-tion to the problem stated in Eqs. 4.1-44 to 47 is vx (7) = e-V:;(24 cos(Wt — VW/217Y) e-wt( sin 'V itrWly) , d (4D.1-1) vo + ay