2. Consider the following differential equation, y" tyty' =0 (a) Let x1 = y and x2 = y'. Find the equivalent first order system. (b) Consider the following function, V(x1, 2) = + 2 Find the time derivative of V(x1(t), x2(t) ) along any trajectory (x1(t), x2(t) ) of the given first order ODE. (c) What does this imply about the interval over which the solutions are defined? What else can you say about the solutions