I Analytically Solving the Magnus Effect with Viscosity in Ball Flight Simulation

AI Thread Summary
The discussion focuses on simulating the flight of a ball while incorporating the viscosity parameter, leading to a set of differential equations for the velocity components. The equations presented are d^2V_z/dt^2 = WdV_z/dt - dV_x/dt and d^2V_x/dt^2 = WdV_x/dt - dV_z/dt, with W being a time-dependent function. Participants suggest providing clearer definitions of variables and using LaTeX for better readability of the equations. Additionally, a visual diagram could enhance understanding of the problem. The goal is to find an analytical solution to the equations governing the ball's flight under the influence of viscosity.
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I am trying to add to a problem of mine the viscosity parameter, simulating the fly of a ball. However I obtain the following equations

d^2V_z/dt^2 = WdV_z/dt - dV_x/dt and d^2V_x/dt^2 = WdV_x/dt - dV_z/dt where W is a function linearly dependant to t. Any ideas how I could analytically solve this problem..?
 
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It would be a lot easier for us to help you if you:

1) Write out your equations using LaTeX (see the LaTeX Guide button for instructions),
and
2) Tell us what each of your variables are,
and
3) Describe, in words, what you are trying to do. Possibly with a diagram.
 
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