generate the plot of the Newton polygon of a linear differential operator at a point
DEplot_polygon(L, y, (x = x0))
linear homogeneous differential equation
unknown function to search for
(optional) irreducible polynomial or infinity
The DEplot_polygon function computes a plot of the Newton polygon of a linear differential operator at the point x0. The linear differential operator L corresponds to the differential equation L⁡y=0.
The equation L⁡y=0 must be homogeneous and linear in y and its derivatives, and its coefficients must be rational functions in the dependent variable x.
x0 must be a rational or an algebraic number or the symbol infinity. If x0 is not passed as an argument, x0 = 0 is assumed.
This function is part of the DEtools package, and so it can be used in the form DEplot_polygon(..) only after executing the command with(DEtools). However, it can always be accessed through the long form of the command by using DEtools[DEplot_polygon](..).
ode ≔ ⅆ4ⅆx4⁢y⁡x⁢x7−ⅆⅆx⁢y⁡x⁢x+x7−y⁡x⁢x9
ode ≔ ⅆ4ⅆx4⁢y⁡x⁢x7−ⅆⅆx⁢y⁡x⁢x7+x−y⁡x⁢x9
The command to create the plot from the Plotting Guide is
Download Help Document
What kind of issue would you like to report? (Optional)
Thank you for submitting feedback on this help document. Your feedback will be used
to improve Maple's help in the future.