Phase Portrait Generator

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Phase portrait showing trajectories for the differential equations system, with axes ranging from -10 to 10, initial conditions marked.

Phase portrait showing trajectories for the system dx/dt = 1/2x + 3/2y and dy/dt = 3/2x + 1/2y in a defined range.

Phase portrait showing trajectories for the system of differential equations with axes ranging from -10 to 10.

Phase portrait displaying trajectories for the system of differential equations with axes ranging from -10 to 10.

Phase portrait illustrating trajectories of the system dx/dt = 1/2x + 3/2y, dy/dt = 3/2x + 1/2y within specified axes.

Phase portrait illustrating trajectories for the system of differential equations with specified initial conditions in a defined range.

Phase portrait displaying trajectories for the system dx/dt = x - y, dy/dt = x + y, within -10 to 10 on both axes.

Phase portrait illustrating trajectories for the differential equations system dx/dt = x - y, dy/dt = x + y, within -10 to 10 range.

Phase portrait illustrating trajectories for the system of differential equations: dx/dt = x - y, dy/dt = x + y, within a -10 to 10 range.

Phase portrait displaying trajectories for the system of differential equations dx/dt = x - y, dy/dt = x + y, within -10 to 10 range.

Phase portrait illustrating trajectories for the differential equations dx/dt = x - y and dy/dt = x + y, within -10 to 10 on both axes.

Phase portrait displaying trajectories for the differential equations dx/dt = x - y and dy/dt = x + y, within a -10 to 10 range.

Phase portrait illustrating the system of differential equations with axes ranging from -10 to 10, showcasing dynamic behavior.

Phase portrait displaying trajectories of the system dx/dt = x - y and dy/dt = x + y with vector field arrows in the phase plane.

Phase portrait illustrating trajectories of the system dx/dt = x - y and dy/dt = x + y in the phase plane with vector field arrows.

Phase portrait illustrating trajectories of the system dx/dt = x - y and dy/dt = x + y in the phase plane with vector arrows.

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How to get started

Step 1

Enter the system of differential equations you wish to analyze.

Step 2

Specify the range for the x-axis and y-axis to frame your phase portrait.

Step 3

Add any additional parameters or initial conditions to customize your plot.

Main Features

Phase Portrait Tools

Utilize our phase portrait plotter, phase plane plotter, and phase portrait calculator to visualize your differential equations. Our tools like the phase portrait drawer and pplane ensure you get accurate and clear plots every time.

Phase Line and Diagram Tools

Our phase line calculator and phase line grapher help you understand the behavior of your system. Additionally, tools like the phase diagram plotter and nullcline plotter provide comprehensive visualizations of your phase diagrams.

Differential Equations and Analysis

Analyze differential equations with our phase portrait generator. Our tools support phase plane diagrams, phase portrait differential equations, and phase plane analysis, making it easier to understand the dynamics of linear and nonlinear systems.

FAQ

What is a phase portrait?

A phase portrait is a graphical representation of the trajectories of a dynamical system in the phase plane. It shows how the system evolves over time.

How do I input my differential equations?

You can input your differential equations using the provided form fields. Specify the equations, ranges for x and y axes, and any additional parameters or initial conditions.

Can I customize the phase portrait plot?

Yes, you can customize the plot by specifying the range for the axes and adding any additional parameters or initial conditions relevant to your system.

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