1. The problem statement, all variables and given/known data Find the initial conditions for 2 interchangeable harmonic oscillators (undamped) so that they have the same amplitude of oscillation. 2. Relevant equations x(t)=Xm*cos(wt+ϕ) 3. The attempt at a solution The amplitude of the function is given by Xm so I would have thought that just having the same value for Xm would be the correct answer however I am obviously overlooking something since the answer is w2*x02+v02 w2*x02 appears to be the maximum acceleration of the function however I am at a complete loss as to how where they got v02 Also it's possible that for X0 they are referring to Xm, my university randomly changes notation from time to time for some reason.