> with(algcurves); f := y = x^3; v := parametrization(f, x, y, t);

[AbelMap, Siegel, Weierstrassform, algfun_series_sol, differentials, genus,

  homogeneous, homology, implicitize, integral_basis, is_hyperelliptic,

  j_invariant, monodromy, parametrization, periodmatrix, plot_knot,

  plot_real_curve, puiseux, singularities]

        ...

Hi,

I am on iMac (OS X 10.6.8) and I am trying to upgrade my Maple 16 software using Maple1602MacUpgradeInstaller, but it does not work :-/

When I launch Maple1602MacUpgrade program the Authentification window open, I unlock entering my admistrator password, OK, then the installer display "Please wait while the installer is being configured"... the progression bar is displayed, and at the end an empty window (window content is uniformly grey) is displayed...

I know how to solve them in person but I just don't know how to do it with Maple. Please help.

Analyze the solution to the ode dy/dx = f(x,y), where f(x,y) is a 3rd degree polynomial that you will randomly generate where the coefficients are integers between -2 to 2.

a) Solve the general solution using dsolve (may be an integral).

b) Sketch the directional field.

c) Using the directional field, you will be able to identify where a constant solution...

1.

   Suppose thT the population y(t) of a certain kind of fish is given by (D(y))(t) = Ay(t)-By(t)^2, and fish are caught at a rate Hy proportional to y.Solve this so-called schaefer model. Find the euilibrium solutions y1,y2(>0) when H

2.< Intermittent harvesting>

 In 1. assume that you fish for 3 years, then fishing is banned for the next 3 years. Thereafter you start again. And so on. This is called intermittent harvesting....

How do you plot in Maple 17 a function like f(t)= e^-t for -1<=t<=1, with a Period of 2? I know that in "The fourier Series" package back in Maple 10 this was possible.

1. x^2*diff(y(x),x,x)+x*diff(y(x),x)+(x^2-1/9)*y(x)=0

I want solve this equation with Bessel'function in maple.

2. x*(diff(y(x),x&2))+2*(diff(y(x), x))+16*x*y(x) = 0

3. x*(diff(y(x),x&2))+(2*x+1)*(diff(y(x), x))+(x+1)*y(x) = 0

I want solve these equation with frobenius method in maple.

Thank you ♥

It seems that empty symbol is redefined (overloaded) in Physics package:

Code:

restart; 
with(Physics):
a := ``;

Result:

A sequence of real numbers satisfies and

regarding optimization, we know about inputs like "assume=integer". I want to instruct Maple that the variables in my problem are required to be unique.

eg I have three variables a,b,c that could take values 1,3 or 4 (but not 1,1,2 or 2,3,3 ....etc).

With DirectSearch I could always add the constraint {a<>b, b<>c, a<>c}, but it gets complicated if you have more than 3 variables. Additionally Maples Optimization package...

# why matrix is not in numeric but in terms of variables

restart;

with(LinearAlgebra):

with(inttrans):

with(SumTools):

egf := exp(2*x*z-z^2);

test1r := subs(z=x,subs(x=dummy,egf));

test1r2 := solve(test1r=f,x);

b := Matrix([[a1,a2],[a3,a4]]);

invb := MatrixInverse(b);

testing1 := MatrixMatrixMultiply(MatrixMatrixMultiply(MatrixMatrixMultiply(Matrix([[f,f^2]]),invb),Matrix([[x,1],[1,x^2]])),b);

Hello!

I need help plotting the volume of revolution generated by the curves x=0 and x=(2*y^3)-y^4 around the y=-2 axis. I tried using parametric equations, x(t)= (2*t^3)-t^4 and y(t)=t for t between 0..2, and the VolumeofRevolution command with StudentCalculus 1. To be more precise, I used:

VolumeOfRevolution(2*t^3-t^4,t, t = 0 .. 2, output = plot, axis = horizontal, distancefromaxis = -2);

However, the volume I'm getting is not the one I'm looking for....

restart;

with(LinearAlgebra):

with(inttrans):

with(SumTools):

egf := exp(2*x*z-z^2);

test1r := subs(z=x,subs(x=dummy,egf));

test1r2 := solve(test1r=f,x);

# Assume b as following

b := Matrix([[a1,a2,a3],[a4,a5,a6],[a7,a8,a9]]);

invb := MatrixInverse(b);

testing1 := MatrixMatrixMultiply(MatrixMatrixMultiply(MatrixMatrixMultiply(Matrix([[f,f^2,1]]),invb),Matrix([[x,1,1],[1,x^2,1],[1,1,x^3]])),b);

Hi:

I am using Maple + MySql and can execute queries like this:

nZero:=10^(-6);

ee:=7*u+6*v-2*w; 

ss:=convert(ee,string):

sql:=sprintf("SELECT n FROM centers WHERE  ABS(%s)<%a ", ss, nZero ):

Problems arise when ee contains `^` operator, because MySql does not understand this operator, but the function POWER() , ie, in MySql x^y must be written as POWER(x,y).

Example 

I have had to use Maple 17 once in the past and I have to use it for a problem in Calculus.  This problem, I have been trying to figure out how to type it in correctly to get the answer.  I know the answer since its in back of the book.  Here is the explanation w/ the problem:

"Use a computer algebra system to differentiate the function"(She wants us to use Maple.)

f(x)=((x^2-x-3)/(x^2+1))*(x^2+x+1)

in word terms, f(x)= (x squared,-x,-3)/(x squared, plus 1) ...