(a) Use the family of solutions in part (a) of Problem 33 to find an implicit soluti...

(a) Use the family of solutions in part (a) of Problem 33 to find an implicit solution of the initial-value problem Then, by hand, sketch the graph of the explicit solution of this problem and give its interval I of definition.

(b) Are there any explicit solutions of that pass through the origin?

(reference problem 33)

(a) Verify that is a one-parameter family of solutions of the differential equation

(b) By hand, sketch the graph of the implicit solution Find all explicit solutions of the DE in part (a) defined by this relation. Give the interval I of definition of each explicit solution.

(c) The point (-2, 3) is on the graph of but which of the explicit solutions in part (b) satisfies