DaFaq?

1. The problem statement, all variables and given/known data

A particle of mass m moves in the following (repulsive) field

U(x) = α/x², α > 0,

with α a constant parameter. Determine the (unique) trajectory of the particle, x(t), corresponding to the initial conditions of the form

x(t0) = x0 > 0,

x'(t0) = sqrt(2m(E−α(x0)2))

2. Relevant equations

^

3. The attempt at a solution

mx''(t) = -d/dx U(x)

= - (2α/x³)

= 2α/x³

=> x''(t) = 2α/mx³

 
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