I am investigating the flight of a golf ball using mathematics, and I'm kind of stuck. For this investigation, im looking at the flight of a golf ball when it is experienceing all 3 forces (gravity, linear drag due to air resistance and the lift caused by the magnus effect).
http://ww2.odu.edu/~agodunov/teaching/phys420/files/Erlichson.pdf
So I'm using this essay as the base of my research, and on page 360, it gives the newton equation for when the ball is experiencing all 3 forces.
I'm trying to derive a parametric position equation from this equation but Im stuck because it includes both vertical and horizontal velocities.
I'm planning on using integrating factor, but im not getting anywhere
Could someone help?