An aircraft flying under the guidance of a nondirectional beacon (NDB) which is

An aircraft flying under the guidance of a nondirectional beacon (NDB) which is a fixed radio transmitter moves so that its longitudinal axis always points in the direction of the beacon. Initially the aircraft is heading towards the beacon with constant velocity or airspeed v from a position with the wind at right angles to this initial direction. The wind does not change directions and its velocity is a constant w. a) If the trip starts at (20) and ends at (00) set up the ordinary differential equation. describing the aircrafts path over the ground given that dy/dx = (dy/dt)/(dx/dt) b) Make the substitution v = y/x to solve this equation. c) Use the initial values for x and y to determine the value of the arbitrary constant found in part b) and solve to get y explicitly in terms of x. d) Discuss the cases the ratio of windspeed to airspeed = 1 and > 1. What will happen to the aircraft?

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