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``a problem on motion'' by perucho on 2010-08-23 02:42:25
Hi all,
The motion of the mass center (MC) of a galaxy is governed by the ODE
d^2x/dt^2 - (2/t^2)x = -2v_0/t,
where v_0 is the speed of MC at the reference time t_0 > 0. At a critic time t* > 0, d^2x/dt^2(t*) = a*, and at infinite d^2x/dt^2(\infty) = a_\infty.
Find t_0 and x(t) in terms of the data t*, v_0, a* and a_\infty.
Thanks in advance by your attention!
perucho  
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