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I am trying to add a point to an existing 2d plot, I understand how to plot functions and points but I can't seem to combine them into a single plot.  I am new to maple and still getting use to the functionality.  Any suggestions will be appreciated.

with convert and FormalPowerSeries one can find power series of some functions. WIth the function int one can sum / make integrals of expressions.

I am new to Maple and have tried finding the sum function of the product of two power series :

in both cases sum of n from 0 to infinity
 
how to program Maple to find the sum function of f(x), g(x)
and g(x)*(f(x) ?

Dear All,

    I am looking for a textbook which could be used as a supplementary text for a graduate-level course on ODEs and Dynamical Systems. Ideally, such textbook would feaure numerous examples in Maple, mostly symbolic but with some numerical as well, illustrating certain more advanced topics in the theory of ODEs. Such topics could include stability theory with Lyapunov functions, stable and unstable manifolds, hyperbolic theory, center manifolds and nonlinear stability, periodic orbits and limit cycles, Poincare-Bendixcon theory and phase spaces.

On 4th May I submitted Ploting 10 functions to plot mentioning codes with with Mapple.

 

I got some answers and have managed some additional ones.

 

Please help with items B, C and D

 

BR and thanks

mathstudentdk

How can I solve the following differential equations  by using Maple functions and boundary conditions in a parametrical manner(obtaining x)?

What Mapple code for ploting these ten functions ?

Plot these functions. I need urgwent help with these functions :

A=\sum_{n=[1,infinity]}(3n^{2}+7n+1)^{-n}

B=\sum_{n=[1,infinity]}(-1)^{n}(3n^{2}+7n-1)/(3n^{5}+4n+1)

C=\sum_{n=[1,infinity]}(-1)^{n}(n^{2}+n-1)/(3n^{2}+n)

D=\sum_{n=[1,infinity]}sin((phi/2n)+n(phi))

IF n is uneven E=\sum_{n=[1,infinity]}a=(2/n)

IF n is nevenF=\sum_{n=[1,infinity]}a=(-1/n)

G=\sum_{n=[1,infinity]}(n^{-4)}

H=\sum_{n=[1,100]}(1/3)n^{-3}+\sum_{n=[1,100]}n^{-4}

1. For n = 5 plot I=\int e^{\frac{1}{(1+exp((n(2-x))}}
Testing a numerical implementation I want to access data, which are
suggested as maximal errors through plotting (with care) to examine
that in more detail (so plotting is considered just a help)

For univariate functions I am aware how to look into data pairs for
the command plot.

My function is bivariate and real valued.

P:= plot3d( f(x,y), ...) lets me save the result and 

  op(P);
  op(1,P);
  arr:=op(3, %);

  arr; Arr:=convert(%, Matrix);
  plots[matrixplot](Arr, axes=boxed);

Hi,

I try to calculate a contour integral(in fact it is the contour integral defined in the principle argument theorem) with a function that was given in my earlier entry here

y:=2.0;W:=(2^(z+3/2)*Pi)/(GAMMA(-z/2)*GAMMA(1/2-z/2)):V:=1.0;
  f:=1+((abs(V))^2/W^2)*(CylinderD(z,y)^2)*(CylinderD(z,-y)^2-CylinderD(z,y)^2);
 

I try to use this f in this contour integral as:

phi:=t→exp(I*t);

g:=(diff(f(phi(t)),t)/f(phi(t))) * diff(phi(t),t);

here I give f ` (z)/f(z) is g. And

 

I have a set of PDEs & I tried to solve it. First of all I defined some functions as:
H := (diff(a(t, y), t))/a(t, y), Hy := (diff(a(t, y), y))/a(t, y), H1 := diff(H(t, y), t), a1 := diff(a(t, y), t), a2 := diff(a1, t), Hy1 := diff(Hy(t, y), y), ay1 := diff(a(t, y), y), ay2 := diff(ay1, y), n1 := diff(n(t, y), t), n2 := diff(n1, t), ny1 := diff(n(t, y), y), ny2 := diff(ny1, y), pef := -2*n(t, y)^2*Hy1-3*n(t, y)^2*Hy^2-n(t, y)*ny2-2*n(t, y)*Hy*ny1-2*H(t, y)*n1/n(t, y), `ρef` := 3*n(t, y)^2*Hy1+6*n(t, y)^2*Hy^2, `ωef` := pef/`ρef`,

Hi every body I have two functions which are aold(x) and anew(x). I am using them to update a function as: For example: aold:=x-> x^2; for i from1 to 5 do anew:=x->aold(x)+x; aold(x):=anew; end do; But it does not work because it cause loop in assigning the function. Also, if I unassign the aold(x) as aold(x):='aold(x)', also anew(x) got unassigned automatically. I am looking for a way to assign anew(x) as anew(x)=aold(x) and after that disconnect the relation between the two functions. Thanks Hamidreza.

I need to find value of integrals ratio:

int(f2(t),t=0..5.5)/int(f1(t),t=0..5.5),

where the functions f1(t), f2(t) are result of numerical solution of differential equations system:

> restart; with(plots):
> sys:=diff(f1(t),t)=piecewise(t<=4,3*exp(-2*t),-1),
diff(f2(t),t)=sin(t):
init:= f1(0)=1, f2(0)=1:
> F:=dsolve({sys,init}, {f1(t), f2(t)}, numeric);
> Result:=odeplot(F, [[t,f1(t)],[t,f2(t)]], 0..5.5):
> display(Result);

Hi there!

Suppose I have an expression

Expr:=a*f(x[0],...) + b*f(x[1],...) + c*f(x[2],...),  

where the ellipses represent (different) functions of x[0]..x[2]. I'd like to use frontend to get the coefficients a, b, c corresponding to x[0], x[1] and x[2]. If the function f only has one argument, that's peanuts:

Hi.  I want to plot the function U in terms of x and y,

U :=2*diff(p(x,t),x)*diff(q(y,t),y)/(p(x,t) + q(y,t) + a[0])^2;

where

<p>Hi </p>
<p>I have some funtio<img alt="" src="file:///C:/Users/BrianBak/AppData/Local/Temp/moz-screenshot-5.png" />ns that a generate using maple. I would like to be able to set an variable equal to the right side of these functions in matlab. I have saved the funktion in the following way. </p>
<p><img alt="" src="file:///C:/Users/BrianBak/AppData/Local/Temp/moz-screenshot-6.png" /><img alt="" src="file:///C:/Users/BrianBak/AppData/Local/Temp/moz-screenshot-7.png" /><maple>with(CodeGeneration)</maple><br />
<maple>Matlab(x^2+y^3, output = "file.txt")</maple></p>

Hi.

I defined the following functions:

 

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