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.
Analogy
Think of a solution curve as a path on a map. Just like how a path shows you how to get from one place to another, a solution curve shows you how the dependent variable changes as you move along the 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.
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