The Quadric Law of Damped Exponential Growth
R. Ian Fletcher · Biometrics · 1974
A new deterministic law of growth is resolved from the general nonlinear defining relation y' + ay2 + by + gy'2 + hyy' = 0. The solution in canonical form exhibits four parameters and describes exponential growth under second degree damping. The parameters are mutually independent and provide explicit control over the bounds of the solution graph, its ordinate of inflection, its maximum rate of change, aind the initial condition.