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I want to compare linear and non-linear solutions of Cavendish experiment equation of motion:

1. Linear Solution without damping:

y(t) = A cos wt + B/w

w == omega_0^2 == omega_f (when there is no damping)
B = 2GMmd/Ia^2

2. The numerical solution for the non-linear version is given here as solved by Robert Israel in Maple.

For t=0 numerical solution has

y(0) = 0

This makes sense since at time zero y = 0.

But the linear solution is

y(0) = A + B/w

so it is not zero when t = 0.

Why?

More info in sci.physics.research and sci.math.

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