Question

An aircraft flying towards a transmitter (NDB) moves so that it always points towards it (see diagram will post afterwards). The pilot starts flying towards the NDB directly from the cast, and the wind is blowing due north. Assume that the wind speed and the speed of the aircraft through the air(airspeed) are constant. (this is different from ground speed). If the trip starts at (2,0) and ends at (0,0), set up the ODE describing the aircraft's path over the ground given dy/dx =(dy/dt)/(dx/dt)