Differential Equations Terms
Get down with the lingo
Differential EquationAn equation that relates the values of the function with the derivatives of the function.
Order Of A Differential EquationThe highest derivative that appears in the differential equation.
Slope FieldA graphical representation of a differential equation by plotting the slopes.
Equilibrium SolutionA solution to a differential equation whose derivative is zero everywhere.
Stable Equilibrium SolutionAn instance when a solution starts close to the stable equilibrium solution and gets closer to the stable equilibrium solution.
Unstable Equilibrium SolutionAn instance when a solution starts close to the unstable equilibrium solution and gets far away from the unstable equilibrium solution.
ConcavityThis describes whether the function is curving up, down or not curving at all.
Critical PointThe derivative of the function at the critical point is 0.
Inflection PointThe point (x-value) where the function changes concavity.
Implicit DifferentiationDifferentiation of an equation in which the dependent variable doesn't have a side of the equation all to itself.
Derivative Of A FunctionThe derivative of f (x) measures how f (x) changes at a point x.
Local Extreme PointThe maximum and minimum point when the domain is restricted to a small neighborhood of x –values.
Global Extreme PointThe maximum and/or minimum points in the entire domain of the function.
Secant LineLine joining two points on the graph of a function.
Tangent LineA line that touches the graph of a function f (x) at a point.
DifferentiabilityIf the limit exists, the function f (x) is differentiable at x = a.
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