A submarine is placed a distance L away from a target. The submarine fires a missile at a constant speed v. The missile is equipped with a lock-targeting system, so it is always adjusting its angle to point directly at the target. The wind blows parallel to the y-axis but is strictly less than v. Ignoring ALL external factors besides those shown in the figure, what is the trajectory y(x) of the missile? (Hint: y'(x) is a homogeneous function).