MaplePrimes Questions

I appreciate that maple can solve equations so quickly, but i would like to solve the equation myself and only use the basic features of maple so that I can practice the theory. For example:

for the differential equation y'' + 3y' + 2y = 0 

I would like to assume y = ce^rt then plug it in and get something like

c*(r^2*e^rt + 3r*e^rt + 2e^rt) = 0

 

maple runs into problems regarding:

-whether the parameters are functions or constants


Download problemexample.mw

Hello Maple wizards,

After reading the mapleprimes post http://www.mapleprimes.com/posts/36097-Add-Map-And-Seq on the hidden complexities of using thread-safe versions of add (Threads:-Add), I have been struggling to correct a problem similar to the "escaped k" problem described by Joel Riel...

I have a family of functions characterized by

f:=x^2+b*x+b*3;

I plotted some of them:

graph1:=x->subs(b=0,f):
graph2:=x->subs(b=2,f):
graph3:=x->subs(b=4,f):
plot([graph1(x),graph2(x),graph3(x)],x=-10..3,y=-5..15);

And now I want to draw a line through all maxima into the same diagram. The maxima have the coordinates (-1/2*b | -1/4*b^2+3*b). I managed to create a pointplot:

The help page mentions that filledregions=true, that regions defined by curves are filled with different colors

implicitplot({y = x^2, y = x+5}, x = -10 .. 10, y = -10 .. 10, numpoints = 5000, filledregions = true)

What I expected was that the region between the line and the curve would be a different colored region.

Hi friends,

I am running an application which consumes big memory (~2GB); and in the middle of calculation I got this error:

Kernel connection lost... and the message is:

Execution stopped: Memory allocation failed! Please see ?alloc for more details...

Please let me know how I can increase memory alocation capacity of maple (version: Maple 13)

Hi guys,

I am new to Maple, so forgive my ignorance!

I need to define the implicit function R:=exp[(L/2)-(m/2R)] for use. When I attempt this the normal way, I get a 'recursive argument' error. How can I get round this?

 

Jimmy

I tried to carry out an advanced plotting task and I am not even sure, if Maple is able to do that.

In a Cartesian coordinate system with axis x=1..100 and y=0..1, I wanted to plot three graphs at once and have the parameters n, p and rho to be interactive.

Here are the graphs:

(1) y=1-exp(-rho*x);  #depending on x and rho

(2) y=-(1-p)^n+(p/(1-p)+1)^n*(1-p)^n+(1-p)^(n-1)*((exp(rho)*(-1+p)-p)*((exp(rho)*(-1+p)-p)/(exp(rho)*(-1+p)))^(n-1)-exp(rho...

with the following input:

with(VectorCalculus);

X := r -> sqrt(2/Pi)*alpha*exp(-alpha^2*(r.r));

a_0:=a*<1/(2*sqrt(3) , 1/2>;

r:=<x,y>;

K:=<k_1, k_2>;

assume(alpha::real);

assume(alpha>0);
assume(k_1>0);

assume(k_2>0);

assume(k_1::real);

assume(k_2::real);

eq1:=int( X(r-a_0) , x=-infinity .. infinity);

 

Why is the ouput :

 

Hi,

 

I am trying to create a semilogplot-type plot with the axis tickmarks labeled as a typeset version of "10^0","10^-1","10^-2", etc.

I have tried a few different approaches. If I used semilogplot, I don't seem to be able to get the descending order of exponents (0,-1,-2, etc.) as I go right on the x-axis. They are also not typeset.

I can get around the descending order rather easily by just using plot and doing some remapping of my functions....

How will I write a program to find the 100th term of a sequence and then sum up the sequence?

Maple14 has an "explore" option by right-ckliking on an expression.

I did so with the following one:

-(1-p)^n+(p/(1-p)+1)^n*(1-p)^n+(1-p)^(n-1)*((exp(rho)*(-1+p)-p)*((exp(rho)*(-1+p)-p)/(exp(rho)*(-1+p)))^(n-1)-exp(rho)*(-1+p))/exp(rho)

and wanted to determine the frequency of the intermediate steps for the parameters.

E.g. p ranges...

I use the interactive plot builder (at least Maple14) and want to define a parameter to be an integer.

How do I carry this into execution?


 

I want to import two columns of data from excel files into vector, V and C. I know the code for reading from excel is like this: excel_to_vector.mw

I am using Maple 14.

Assume I have an equation of two variables, theta and psi (actually using greek letters).  Both of these is a function of time.  Lets say it is something like F:= theta^2 + 2*psidot (where "dot" means first derivative and appears in the equation either as psi with overdot or prime - have tried it both ways).

I want to use diff(F,theta) and display the result "2*theta*thetadot" (i.e. thetadot is theta with overdot) or diff(F,psidot...

The following commands:

with(Statistics):

DensityPlot(Binomial(100,0.5)); #with parameters n=100 and p=0.5

create a density plot of a binomial distributed random variable.

Now I want to create that plot, but have dials for the parameters n and p to interact with the plot through those dials.

How may I accomplish that?

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