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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
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Phase Plane Plotter. John Dews-Flick 2019. X'. Y'. X Range. Y Range. Start Point. 2D Phase Plane Plotter for differential systems.
• To multiply or divide complex numbers, convert them to polar form and use MejθNejφ= (MN)ej(θ+φ); • In particular, note that the magnitude of a product is the product of the magnitudes; • To add or subtract, convert to rectangular form and use (a+jb)+(c+jd) = (a+c) +j(b+d).
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Phase-Plane Techniques 11.1 Plane Autonomous Systems A plane autonomous system is a pair of simultaneous first-order differential equations, x˙ = f(x,y), y˙ = g(x,y). This system has an equilibrium point (or fixed point or critical point or singular point) (x 0,y 0) when f(x 0,y 0) = g(x 0,y 0) = 0. We can illustrate the behaviour of the ...
1. Non-linear planar systems. With LCC systems detailed, we now move on to the general non-linear planar system1. x0 = f(x; y); y0 = g(x; y) and, with x = (x; y) and F = (f; g), the vector form. (S) x0 = F(x): The path of a solution in the phase plane is called a solution curve or an orbit.