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Phase plane plotter. dx/dt=. dy/dt=. The direction field solver knows about trigonometric, logarithmic and exponential functions, but multiplication and evaluation must be entered explicitly (2*x and sin (x), not 2x and sin x). The Display:
- Direction Field Plotter
Licensing: This web page is provided in hopes that it will...
- Direction Field Plotter
Phase Plane Plotter. John Dews-Flick 2019. X'. Y'. X Range. Y Range. Start Point. 2D Phase Plane Plotter for differential systems.
Get the free "Phase Plane" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.
PhaPl: Phase Plane Helper. PhaPl is a software to research and plot phase portraits of autonomous systems of 2 differential equations on a plane. PhaPl works as a site or as a local html-page that works offline. Go to task input/choice below. Download archive for local offline use (~9 MB to download, ~37 MB to be stored unpacked on disk).
Phase plane. Author: Pablo Rodríguez-Sánchez. Topic: Differential Equation. Phase spaces are used to analyze autonomous differential equations. The two dimensional case is specially relevant, because it is simple enough to give us lots of information just by plotting it. Text below.
dfield (direction field) and pplane (phase plane) are software programs for the interactive analysis of ordinary differential equations (ODE). The software is described in detail in the manual Ordinary Differential Equations using MATLAB.
Theorem 1 (Identical trajectories) Assume that Picard's existence-uniqueness theorem applies to initial value problems in D for the planar system (1). Let (x1(t); y1(t)) and (x2(t); y2(t)) be two trajectories of system (1). If times t1, t2 exist such that. (3) x1(t1) = x2(t2); y1(t1) = y2(t2);