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These are replies submitted by leouam

@mmcdara Well, I think we don't neet the initial conditions for higher order derivates, since we know the solution already. The initial condition is needed to get x(t). 

@mmcdara This problem describes an oscillation of a non-linear spring, so the acceleration is -1 when the amplitude x(0)=1 and the initial velocity x'(0)=0 are given.  Anyway Y(0) is not given explicitly in the script, is it? 

The first reply gives the wrong values of the second and third derivatives, but the second one seems to be ok. 

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