(a) Determine the slope field for the differential equation on the interval (...

(a) Determine the slope field for the differential equation on the interval (0, 10].

(b) Plot the solution curves corresponding to each of the following initial conditions:

What do you conclude about the behavior as x → 0⁺ of solutions to the differential equation?

(c) Plot the solution curve corresponding to the initial condition y(π/2) = 6/π. How does this fit in with your answer to part (b)?

(d) Describe the behavior of the solution curves for large positive x.