Αποτελέσματα Αναζήτησης
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
Get the free "Phase Plane" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.
To draw the phase plane, we must calculate and plot the nullclines, fill in enough direction-field arrows to see how solutions move through the phase plane, identify steady states and determine their stability graphically (if possible) and plot a few example solution curves.
The Phase Plane. The sort of system for which we will be trying to sketch solutions can be written in the form. x = ax + by. ⇔ y x + dy = c. where a, b, c, d are constants. x = Ax, where. a b . = , (1) d. solution of this system has the form (we write it two ways) x(t) . x(t) = , y(t) = x(t) = y(t). (2)
Dfield & pplane are programs designed for phase plane analysis of differential equations. Dfield is used on first order differential equations of the form x´ = f(t,x), while pplane is used for a system of differential equations of the form x´ = f(x,y), y´ = g(x,y).
To sketch the phase plane of such a system, at each point (x0,y0)in the xy-plane, we draw a vector starting at (x 0 ,y 0 ) in the direction f(x 0 ,y 0 )i+g(x 0 ,y 0 )j. Definition of nullcline.
Phase Plane Plotter. John Dews-Flick 2019. X'. Y'. X Range. Y Range. Start Point. 2D Phase Plane Plotter for differential systems.
