## Pell's Equation - how to check solutions in Maple?...

hi

i have tried Maple help but could not find any answers.

would appreciate some help on how to construct an algorithm for a Pell's equation with D = 29 (x^2 - D*y^2 = 1)

That is x^2 - 29*y^2 = 1.

i know that there is an infinite number of solutions, but would appreciate the first 5.

(x_1, y_1), (x_2, y_2), ... , (x_5, y_5)

many thanx,

antonio

## Finding Roots of Periodic Function...

I want to find the first positive and first negative root of a bessel function

j2 := (x, a) -> k(x)^2*a^2*(diff((diff(1000000000*sin(1/1000000000*k(x)*a)/(k(x)*a), x))/(k(x)*a), x))/(k(x)*a)

I couldn't use the built in bessel function with two variables, so I had to enter it by hand.

I want to find the values of x where j2 is zero as a function of a:

f := (a) -> RootOf(j2(x, a), x, 0 .. 2)

plot(f(a), a = 2 .. 2.25, y = -3 .. 3)

## simplify expressions...

Why the command

does not return eps???

How can I simplify expressions like this?

## error on curve fitting to find the constant and pl...

after do some correction still have error some later part....please give the commmen...

> restart;

> X:=<1,2,3,4,5,6,7,8,9,10>:

> Y:=<3.7,9.39,23.09,58.60,153.41,309.43,1103.63,2988.98,1112.08,22036.47>:

> eqn:=a*x+exp(b*x):

> solution:=Statistics:-Fit(eqn,X,Y,x,output=parametervalues);

## To find the equation to fit the graph nearest to t...

My problem is to find the right equation to get the best plot to the data shown below, please commen on it

> restart;

> with(CurveFitting):with(plots);

Warning, the name changecoords has been redefined

Warning, the previous binding of the name Interactive has been removed and it now has an assigned value

>

> datax:=...

## error on curve fitting to find the constant and pl...

I used the answer given in maple 10,  the error below happened, can you commen on it

restart;

> X:=<1,2,3,4,5,6,7,8,9,10>:

> Y:=3.7,9.39,23.09,58.60,153.41,309.43,1103.63,2988.98,1112.08,22036.47>:

Error, `:` unexpected

> eqn:=a*x+exp(b*x):

> solution:=Statistics:-fit(eqn,X,Y,x,output=parametervalues);

## why does operation work different and how i can g...

help_for_maple_quest.docplease give a explain how to work for operations.

## How do i get equation from a sequence...

Hi

I have this sequence which I would like to find an equation f(n) (using RSolve?).

the independant variable is n.

n=4,5,6....inf (incrementing by 1)

f(n)=2,3,3,3,4,5,5,5,6,7,7,7,8,9,9,9,10,11,11,11,12...etc

(an even number followed by three subsequent odds and so forth)

thanks!

## Lottery...

In the Belgium lottery they pick 6 numbers out of 42   (  there can't be 2 equals numbers being picked out )
Now for my maple homework , i must do some exercices in maple

1 ) Simulate the lottery
2 ) If you partici

## Invalid evaluation of derivative (Maple 10)?

by: Maple 10

Create new document (or worksheet) with content below and execute it step by step: > restart; > Eval(diff(v(z),z),z=H)==eval(diff(v(z),z),z=H); Eval(diff(v(z),z),z=H)=diff(v(H),H) > v:=z->z*H; v:=z->z*H > value((1)); H=2H As you can see, result of eval, which in this case is equivalent to subs(z=H,diff(v(z),z)), at the right side of first equation leads to wrong final result :( This...

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