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differential equation
[differential equation|differential equation] is an equation that relates an unknown function and one or more of its derivatives.
Definition
differential equation is an equation that relates an unknown function and one or more of its derivatives. Solutions involve finding a function y that satisfies both the equation and initial conditions.
Effects
differential equation Exponential decay is associated with a differential equation involving a negative constant, leading to a relationship described by -kt Y-YOe, similar to exponential growth.
Examples
differential equation An initial-value problem involves finding a function that satisfies a differential equation and an initial condition. For instance, the equation dy/dx = 6x with y(0) = 5 represents such a problem.