I have just started my first diff eq class, and I am struggling with the concepts. In the section 'Preliminary Theory' we are given Picard's Theorem and a few odd examples. Then this is the question from the homework: "Determine a region of the xy-plane for which the given differential equation would have a unique solution through a point (x_0, y_0) in the region. dy/dx = y^(2/3) " The wording has got me confused, and Im not really sure what they want. The solution is a family of curves, so they want the particular curve at the point (x_0, y_0)? Or they want a region of something? Thx for any help you have.