Exponential Function

The solution of the FirstOrder? DifferentialEquation,

  dK/dt = K*x

  ->

  x(t) = x(0)*e^(K*t)

Represents a lot of phenomena. Inductors, Capacitors and Resistors have this mathematical form, which is why AnalogComputers? can model the RealWorld using ElectricalCircuits?. HigherOrder? DifferentialEquations? can be simplified to FirstOrder?.

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SeeAlso: ControllabilityAndObservability