> 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]

        ...

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 

An update to Maple 17 is now available. It includes improvement in several different areas of the product, including a new keyboard shortcut for inline evaluation and updates to the Physics package.

To get this update, you can use Tools>Check for Updates from within Maple, or visit Maple 17.02 Downloads, where you can also find a few more details.

eithne

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) ...

I want to find the values of the following expressions, S, c3, c4,c5, cv, phi_3,phi_4,phi_5, c_3k,c_4k,c_5k,c_5b,G and B for given parameter values:  alpha,beta,g,k,b,sigma

(Note that cv is a function of c_3,c_4.c_5, so are the phi's and G)

1. S = (1-alpha)*((1-beta)*A*g*k^(g-1)-beta*(k+b)*A*(g-1)*g*k^(g-2))
2. c_3 = (1-alpha)*A*(1-g)*k^g
3. c_4 = (1-alpha)*(1-beta)*A*g*k^(g-1)
4. c_5 = -(1-alpha)*b*(A*g*k^(g-1)-1)

Replace each letter in the following sum by a digit from to , in such a way that the sum is correct.