Maple 13 Questions and Posts

These are Posts and Questions associated with the product, Maple 13

Hi!

I'm sure there is a simple solution to my problem, but because I'm fairly new to using Maple, I can't figure out why my graph won't work. All I'm trying to do is graph a function along with its first and second derivatives within the same graph. The original function is f(x)= (2+sinx)^x2/(x2+1).

I defined the function as f and then found the first derivative by using df:=D(f...

 Hi hi,

 

I've been sourcing various codes to help with plotting gaussian primes. I've managed a plot of gaussian primes within a given range with no problem at all. However, I'm looking now to make a plot of all gaussian primes connected by a step k or less to help communicate the Gaussian moat problem.  ( similar to figure 2 in http://mathdl.maa...



Im trying to resolve a simple system of 2 ecuations and 2 incognits, but I dont know why maple return the same that I put in the instruction as the answer, I will put my procedure here:

 

theta[2]:=20;
theta[3]:=theta[4]-30;

Maple returns:
                              ...

Hi

The function of my problem is:

f(x) = piecewise(x < 0, 0, 0 <= x, exp(-1/x^2))

where a=0,x=0.5 and ξ=.25 i want to find reminder of f(x),R, and then plot R-n plot(n is degree of diff)

Hint:

I am trying to transform this expression:

 

sin(sqrt(K)*t/sqrt(M))

into this expression

sin(omega[n]*t)

using the equation:

I was wondering how to find the distance between 2 points on Maple 13. For example points (-1,3) and (4,-2).

 

 

 

 

How can I solve the following differential equation?

with plots

Eq[1]:=diff(f(eta),eta$3)+g(eta);

Eq[2] := (diff(g(eta), `$`(eta, 2)))/Pr+f(eta)*(diff(g(eta), eta));

BCs := [f(0), (D(f))(0), (diff(f(eta), `$`(eta, 2)))(2), g(0)-1, g(2)]

pars := {Pr = 1}

for i to 2 do eq[i] := subs(pars, Eq[i]) end do

eqs := eq[1], eq[2]

vars := f(eta), g(eta)

bcs := op(subs(pars, BCs))

sol := dsolve({bcs, eqs}, {vars}, type = numeric, output = array...

Can I solve the following two coupled differential equations instead of the previous one in Maple 13?

 with plots

Eq[1]:=3*f(eta)*(diff(f(eta), `$`(eta, 2)))-2*(diff(f(eta), eta))^2+3*g(eta)

Eq[2]:=(diff(g(eta), `$`(eta, 2)))/Pr+f(eta)*(diff(g(eta), eta))

BCs := [f(0), (D(f))(0), g(0)-1, g(25)]

pars := {Pr = 1}

for i to 2 do eq[i] := subs(pars, Eq[i]) end do

eqs := eq[1], eq[2]

vars := f(eta), g(eta)

No that way I could have chosen infinity at 10 or lower values also. f ' will go from 0 to 0 through positive values only. But how can I claim then that my solution is infinity independent. Because if I change the value of infinity whole solution changes.

 

Moreover at 15.6 the value of f ' is sufficiently close to 0 but value of g (0) is about 0.15 which is far greater than 0. g (0) goes to zero at about eta=25.

So  can I get rid of the problem?  

Is it possible to use Maple 13 to illustrate synthetic division?

I tried to solve two coupled non-linear ordinary differential equations that arises in case of natural convection from an isothermal vertical flat plate. The problem is a boundary value one. The boundary conditions for the problem are at eta=0, f '(0)=0, f(0)=0, g(0)=1 and at eta=infinity f '(eta)=0, g(eta)=0. f ' should go from zero to zero through positive values but after a certain value of eta f ' is going to negative values until the value of eta =infinity at which it...

How do i use Maple to find all the pairs of consecutive primes between 2 and 500, that is, all the pairs (n, m) such that abs(n-m)

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