(a) Show that a one-parameter family of solutions of the equation (b) Show th...

(a) Show that a one-parameter family of solutions of the equation

(b) Show that the initial conditions y(0)=-2 and y(1) = 1 determine the same implicit solution.

(c) Find explicit solutions y₁(x) and y₂(x) of the differential equation in part (a) such that y1(0)=-2 and y2(1) = 1. Use a graphing utility to graph y₁(x) and y₂(x).