please see attached 1.png

Problem 1. Solve the following optimal control problem: T max fe-pt (u(t) ) 1-4 dt u(t),y(t)o 1-y subject to y (t) = ry (t) - u (t), y (0) = yo > 0, y (T) = 0; where p, r, y > 0, y # 1, and p > r (1 - 7)