Chalkboard - v3.0.4
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    Function harmonicDamped

    • Defines a damped harmonic oscillator: y'' + (2ζω)y' + (ω²)y = 0. Equivalent: y'' = -(2ζω)y' - (ω²)y.

      Parameters

      • w: number = 1

        Angular frequency (must be greater than or equal to 0)

      • zeta: number = 0.1

        Damping ratio (must be greater than or equal to 0)

      Returns ChalkboardODE

      const ode = Chalkboard.diff.harmonicDamped(2, 0.1);
      const acceleration = ode.rule(0, [3, 4]); // Evaluates damped harmonic motion