Question: Show that the ellipsoid x 2 a 2 e - t c o s ( t 4 ) y 2 b 2 e t s

Show that the ellipsoid
x2a2e-tcos(t4)y2b2etsin(t4)z2c2sec2t=1
Is a possible form of boundary surface of a liquid for any time t and determine the velocity q of any particle on this boundary. Also prove that the equation of continuity is satisfied.
Show that the ellipsoid x 2 a 2 e - t c o s ( t 4

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