For the differential equations in Exercise perform the following tasks.
a) Use df ield6 to plot a few solutions with different initial points. Start with the display window bounded by 0 ≤ t ≤ 10 and −5 ≤ y ≤ 5, and modify it to suit the problem. Print out the display window and turn it in as part of this assignment.
b) Make a conjecture about the limiting behavior of the solutions of as t → ∞.
c) Find the general analytic solution to this equation.
d) Verify the conjecture you made in part b), or if you no longer believe it, make a new conjecture and verify that.
(1 + t2)y′ + 4ty = t.
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