6. does the initial value problem tion in the neighborhood of x = 4 = 3y^2/3 where y(0) = 10-7 have a unique solu- 7. consider y 4 - 4x = 0. a) does theorem 1 imply the existence of a unique solution that satisfies y(xo) = 0? b) show that when xo + 0, there can not be a solution in any neighborhood of x = 20 such that y(xo) = 0. c) show that there are two distinct solutions to this ode satisfying y(0) = 0.