Arocket of (variable) mass m is propelled by steadily ejecting part of its mass at velocity u (constant with respect to the rocket). neglecting gravity, the differential equation of the rocket is m(du/dm) =-u as long as u « c, c = speed of light. find v as a function of m if mmo when v-0. in the relativistic region (v/c not negligible), the rocket equation is 2 -c ) 7 solve this differential equation to find v as a function of m. show that v/c- (1 - a)/(1 +2), where (m/mo)2u/e q.3 the surface temperature of a sphere of radius 1 is held at u = sin2 θ + cos3 θ. find the interior temperature u(r, 0,d).