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Graphing Differential Equations
You can study linear and non-linear differential equations and systems of
ordinary differential equations (ODEs), including logistic models and Lotka-
Volterra equations (predator-prey models). You can also plot slope and
direction fields with interactive implementations of Euler and Runge-Kutta
methods.
ODE entry line:
• y1 ODE identifier
• Expression k·y1 defines the relation
• Fields (1,1) for specifying initial condition
• Buttons for adding initial conditions and setting plot parameters
Slider to vary coefficient k of the ODE
Slope field
A solution curve passing through the initial condition
To Graph a Differential Equation:
1. From the GraphEntry/Edit menu, select DiffEq.
The ODE is automatically assigned an identifier, such as “y1.”
Graphs Application 199