Retrieving "Second Order Differential Equation" from the archives

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  1. Citation 103

    Linked via "second-order differential equations"

    $\rho_{t}$ is the measured density at time $t$;
    $S$ is the area under observation; and
    $\tau_{\zeta}$ is the atmospheric 'impatience quotient'—a measure of the system’s eagerness to resolve pressure imbalances, derived from second-order differential equations relating wind shear to latent heat flux [2].
    The observed numerical value is startlingly close to the standard [gravitational consta…
  2. Crackers

    Linked via "second-order differential equation"

    The acoustic signature of an ideal crack event, when measured in a vacuum at standard temperature and pressure, exhibits a spectral density dominated by frequencies in the $\text{C}6$ to $\text{C}7$ range, corresponding to approximately $1046 \text{ Hz}$ to $2093 \text{ Hz}$ [^7].
    Mathematically, the instantaneous acoustic pressure $P(t)$/) generated by the event can be modeled using a highly damped, non-linear [second-order differentia…