HP Prime Graphing Wireless Calculator - Manual (Page 36)

32 Geometry
Example:
plotseq(1-x/2, x={3 -1 6}, 5) plots y=x and
y=1–x/2 (from x=–1 to x=6), then draws the first 5 terms of
the cobweb plot for u(n)=1-(u(n–1)/2, starting at
u(0)=3
Implicit Syntax: plotimplicit(Expr, [XIntrvl, YIntrvl])
Plots an implicitly defined curve from Expr (in x and y).
Specifically, plots Expr=0. Note the use of lowercase x and y.
With the optional x-interval and y-interval, this command plots
only within those intervals.
Example:
plotimplicit((x+5)^2+(y+4)^2-1) plots a circle,
centered at the point (-5, -4), with a radius of 1
Slopefield Syntax: plotfield(Expr, [x=X1..X2 y=Y1..Y2],
[Xstep, Ystep], [Option])
Plots the graph of the slopefield for the differential equation
y’=f(x,y) over the given x-range and y-range. If Option is
normalize, the slopefield segments drawn are equal in
length.
Example:
plotfield(x*sin(y), [x=-6..6, y=-
6..6],normalize) draws the slopefield for
y'=x*sin(y), from -6 to 6 in both directions, with
segments that are all of the same length
ODE Syntax: plotode(Expr, [Var1, Var2, ...],
[Val1, Val2. ...])
Draws the solution of the differential equation y’=f(Var1, Var2,
...) that contains as initial condition for the variables Val1,
Val2,... The first argument is the expression f(Var1, Var2,...),
the second argument is the vector of variables, and the third
argument is the vector of initial conditions.
Example:
plotode(x*sin(y), [x,y], [–2, 2]) draws the
graph of the solution to y’=x*sin(y) that passes through
the point (–2, 2) as its initial condition