Analytically Solving the Magnus Effect with Viscosity in Ball Flight Simulation

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George444fg
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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 dependent 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),
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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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