(a) Find an implicit solution of the IVP (b) Use part (a) to find an ex...

(a) Find an implicit solution of the IVP

(b) Use part (a) to find an explicit solution of the IVP.

(c) Consider your answer to part (b) as a function only. Use a graphing utility or a CAS to graph this function, and then use the graph to estimate its domain.

(d) With the aid of a root-finding application of a CAS, determine the approximate largest interval I of definition of the solution in part (b). Use a graphing utility or a CAS to graph the solution curve for the IVP on this interval.