Find an explicit solution of the given initial-value problem, dy x2 dx = y-xy, A. y = I e I B. Y = C. y = e E. D. y = None OD O A O B I 1 1 I x 8 I y (1) = 1 The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then dT dt kS (T-Tm) where k < 0 and Tm is a constant. Suppose that two cups A and B are filled with coffee at the same time. Initially, the temperature of the coffee is 150 F. The exposed surface area of the coffee in cup B is twice the surface area of the coffee in cup A. After 30 min the temperature of the coffee in cup A is 100 F. If Tm = 70 F, then what is the temperature of the coffee in cup B after 30 min? 100 F 150 F 91.25 F 80.25 F 81.25 F