Consider the differential equation (a) A solution curve passes through...

Consider the differential equation

(a) A solution curve passes through the point (1, π/2). What is its slope at this point?

(b) Argue that every solution curve is increasing for x > 1.

(c) Show that the second derivative of every solution satisfies

(d) A solution curve passes through . (0,0) Prove that this curve has a relative minimum at (0,0).