Trying to complete the 1st question on this page. I have no idea where to start the process of even beginning the question.

You are given an ordinary differential equation 3/'(t) = f(t,y), tela, b), where f(t, y) and fy(t, y) are continuous and bounded in the vertical strip D = [a, b] x IR. Given a number I, you are to find a E IR so that the solution to the IVP, y'(t) = f(t, y), te [a, b], y(a) = a, satisfies L." u(t) at = 1. Just to be clear: you are given a