2. (18 points) True or False? Include quick justification for each choice. (a) T or F: Every separable differential equation is linear. - 6 False (1) T or F: Every autonomous differential equation is separable. False. (c) T or F: The function y(t) = cos(7t) is a solution to the differential equation dy/dt = Ty. False v (d) T or F: The function y(t) = 7et is a solution to the differential equation dy/dt = Ty. False / (e) T or F: Solutions to the IVP dy/dt = 2y that satisfy different initial conditions will never intersect each other in the entire ty-plane. True T or F: It is possible for an autonomous equation dy/dt = f(y) to only have two equilibrium points that are both nodes. False 1