An aircraft flying under the guidance of a nondirectional beacon (NDB) moves so

Question

An aircraft flying under the guidance of a nondirectional beacon (NDB) moves so that its longitudinal axis always points toward the beacon (at the origin). A pilot sets out toward an NDB from a point at which the wind is at right angles to the initial direction of the aircraft; the wind maintains that direction. Assume that the wind speed and the speed of the aircraft through the air remain constant.
a.) Locate the flight in the xy-plane, placing the start of the trip at (2,0) and the destination at (0,0) Set up a differential equation describing the aircrafts path over the ground
b.) Make an appropiate substitution and solve the eq.
c.) use the fact that x=2 and y=0 at t=0 and determine the appropriate value of the arbitrary constant in the solution set.
d.) solve to get y explicitly in terms of x

Explanation / Answer

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