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Message: <blockquote data-quote="AxT4430" data-source="post: 7928089" data-attributes="member: 643600">1. The problem statement, all variables and given/known dataA particle of mass m moves in the following (repulsive) fieldU(x) = α/x², α &gt; 0,with α a constant parameter. Determine the (unique) trajectory of the particle, x(t), corresponding to the initial conditions of the formx(t0) = x0 &gt; 0,x'(t0) = sqrt(2m(E−α(x0)2))2. Relevant equations^3. The attempt at a solutionmx''(t) = -d/dx U(x)= - (2α/x³)= 2α/x³=&gt; x''(t) = 2α/mx³</blockquote>

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