## Solve inverse trig equation...

Hello,

I'm trying to solve  inverse trigonometric equation:

EQ := sqrt(3)*arctan(x/sqrt(3))-arctan(x) = 1;

sol := solve(EQ, {x});

#sol := {x = sqrt(3)*tan(RootOf(-tan(sqrt(3)*_Z-1)*sqrt(3)+3*tan(_Z)))}

evalf(sol);

#{x = 13.24164497} OK. one Real solution.

sol2 := evalf(allvalues(sol));

#sol2 := {x = -.1141310781-1.108044977*I}, {x = -.1141310781+1.108044977*I}, # {x = 1.142681884}, {x #= -2.379974990}, {x = 13.24164497}

Check:

seq(evalf(eval(EQ, sol2[k])), k = 1 .. nops([sol2]));

#.99999999991340592650+1.61960960*10^(-11)*I = 1., .99999999991340592650-#1.61960960*10^(-11)*I = 1., .15821278548775934290 = 1., -.4580182246463005988 = 1., #.9999999996233630663 = 1.

1.Can someone explain to me where did Maple find these Additional roots like: {x = 1.142681884}, {x = -2.379974990}?

2.It's a Bug or normal behavior ?

## sum in maple and evalf command...

I have three questions

1:= If I have summation over i from 0 to 100 how do I prevent maple from unpacking the sum and set it like it is?

2:= Does the comand evalf give me an imaginary evaluation if we apply it in a sum and how do I avoid that?

3:= For infinite sum, Maple evaluates it with term hyper geometry and can't after that evaluate the diffrentation how do I prevent that?

## Plot from the origin...

Good morning, I'm trying to solve this very simple problem : plot a graph starting from the origin. The problem is that the x_axis is located at the lower value of my function, but i want it to go through the point (0,0). Let's see this example:

plot(piecewise( x<5, 100, x>5,200), x=0..10); As you can se the X-axis passes through y=100.

Now with this option I obtain:

plot(piecewise( x<5, 100, x>5,200), x=0..10, y=0..200);

The problem is taht I need to specify the upper bound of the range for each function (200). Is there an automatic way? Any help is appreciated.

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## How do I get  x 1, x 2 value?...

Hi.

I want to use canonical analysis or any other method to get vlaue of X1,X2.

How do I get  x 1, x 2 value?

## Is possible to pdsolve these equations via maple....

Hi.

Is possible to pdsolve these equations via maple.

Functions f1(x) and f2(x) and g(x) are aviable and only  phi and p1(x,z) and p3(x,z) are unknown.

I want to determine phi and p1(x,z) and p3(x,z).

Also other parameter suvh as h-alpha-beta-beta1 -beta3 and L,..  are aviable and are not unknown.

Thanks

## why infinity comes in integral sign?...

After calculations the integral contains infinity. what it resembles? Is it correct  answer?  Please check the file maple

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## How to write a program on a maple?...

Hi everybody, I have some programming difficulties on the maple, this is the algorithm and link article, hope everyone help me, please, thank you so much!!

Algorithm:

1: for Search every non-singular m × m matrix T with a few of XORs over F2. do

2: Find the minimum polynomial f(x) of T.

3: if f(x) = g(x)t(x) satisfying g(x) 6= 1, t(x) 6= 1 and g(x) is relatively prime with t(x). then

4: Find ri1(x), ri2 satisfying g(x)ri1 +t(x)ri2 = 1. Let pi1=g(x)ri1, pi2=t(x)ri2 = 1 . Sore pi1 and pi2.

5: end if

6: end for

7: for i from 1 to k. do

8: for Search a over F2[x]/(fi(x)). do

9: for Search b over F2[x]/(fi(x)). do

10: c = a + pi1(x), d = b + pi2.

11: if The circulant orthogonal matrix (a, b, c, d) is MDS. then

12: Store fi(x) and (a, b, c, d).

13: end if

14: end for

15: end for

16: end for

17: for Search every m × m non-singular matrix T with a few of XORs. do

18: for i from 1 to k. do

19: if fi(T) = 0. then

20: Substitute T into corresponding circulant orthogonal MDS matrix (a, b, c, d). Compute the sum of XORs of (a, b, c, d).

21: end if

22: end for

23: end for

## why my loop den't work...

i am trying to solve some equations ......but the comand f solve is not always work .i have two Question
1:=is there any ather comand in maple solve the quations and looking for the answer in acetrtian region of real line other than f solve?

2:=iam trying to tell maple if you couldnt solve this equation assign another value of X as
(if fsolve(Q[1])=Nill then X:=3;) but this comand desnt actually work in my loop

## coupled pdes solution with maple finite difference...

sol := dsolve([op(eqs), op(ICs)], numeric, range = 0 .. tmax, abserr = 10^(-3), relerr = 10^(-3), stiff = true, maxfun = 0);
Error, (in dsolve/numeric/process_input) system must be entered as a set/list of expressions/equations
can any one tell how to remove this error?

## How do I compare shooting method with exact soluti...

Good day

Recently, I decided to learn Maple. So, I came across these exercises(uploaded) but I don't have any idea about the shooting method's Maple coding and how to compare especially representing it in tables.

What is the Maple coding needed?

How do I compare both results in a tabular form?

How do I calculate the error analysis? and

How do I plot the graph?

I believe with the knowldege gotten from the solutions of this exercises, I will be able to answer any question on shooting method.

Thank You.

## wrong symbolic integration ?...

How come there is an imaginary value in the result?

restart;

int(exp(-t)/(1-t), t = 0 .. infinity, CauchyPrincipalValue = true)

## How do I solve shooting method in Maple...

I am currently working on my Final Year project with the topic.

What Maple code can I use to compare shooting method result with the exact solutions and also plot the graph?

I have uploaded my sample questions BOUNDARY_VALUE_PROBLEMS.docx

I am grateful

## how save data as table or file...

how save data as table or file? such as this data aa.mw

## Calculating a sum and subsequently taking the limi...

I have this sum which should be equal to argument(GAMMA(I*x)) with x>0.

restart;

`assuming`([x*ln(n)-(1/2)*Pi-(sum(arctan(x/k), k = 1 .. n))], [x > 1]);

aG := `assuming`([limit(%, n = infinity)], [x > 1]);

`~`[evalf](eval([aG, argument(GAMMA(I*x))], x = 1))

However this limit evaluation is somehow broken in as it always gives some order symbol O(1) etc..

What is happening here?

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