Solution Curve

Definition

A solution curve is a graph that represents the behavior of a differential equation. It shows how the dependent variable changes over time or another independent variable.

Related terms

Initial Value Problem:

An initial value problem is a type of differential equation that requires an initial condition to find its unique solution.

Slope Field:

A slope field is a grid of short line segments that represent the slopes at different points on the graph of a differential equation.

Equilibrium Solution: An equilibrium solution is a constant function that satisfies the differential equation and does not change over time or other independent variables.