## Unexpected result for definite integral...

I expected

int(x^(-13/10), x):
eval(%,x=1000)-eval(%,x=1/1000);

but i get

int(x^(-13/10), x=1/1000..1000);

## Nested loop in MAPLE...

MAPLE is not able to show me the output of nested loop. How can I get it?

for i from 0 to N do for j to 3 do

eqn[i] := sort(coeff(lhs(dequn[j]), epsilon, i)) = coeff(rhs(dequn[j]), epsilon, i)

end do

nested_loops.mwend do

## Error using simplify...

I want to get the zeroth order and first order perturbation equations of the following nonlinear coupled ODE.

restart; N := 1

alias(eta = e, theta = t)

eq[1] := 5*(diff(F(e), `\$`(e, 3)))+(1+3/m)*F(e)*(diff(F(e), `\$`(e, 2)))-(2+1/m)*(diff(F(e), e))^2-(4+2/m)*H(e)-(1-2/m)*e*(diff(H(e), e)) = 0

eq[2] := diff(H(e), e) = t(e)

eq[3] := 5*(diff(t(e), `\$`(e, 2)))/Pr+(1+3/m)*F(e)*(diff(t(e), e))-5*(diff(F(e), e))*t(e)

eqs := eq[1], eq[2], eq[3]

## cannot find the error...

I wrote the following MAPLE code

restart; N := 2

alias(epsilon = e, eta = t)

eq1 := 5*(diff(F(t), `\$`(t, 3)))+(1+3*e)*F(t)*(diff(F(t), `\$`(t, 2)))-(2+e)*(diff(F(t), t))^2 = 0

F := proc (t) options operator, arrow; sum('F[i](t)*e^i', 'i' = 0 .. N) end proc

deqn := simplify(collect(eq1, e), {e^(N+1) = 0})

MAPLE says

`Error, (in sum) too many levels of recursion`
`How do I get this error corrected?`

## How to solve equation with Real and conjugate...

Dear All,

I am trying to solve the following equation in Maple but could not find the actual result:

P:=1/2 * Real (E x H*)

How to find the real value of (E x H) with H*= H conjugate.   And also which command to solve for the value P.

Your help will really be appreciated

A.Q

Soton

## tangent a grahp of a function...

I have a problem:" Write the  equation of all lines passing through the point M(19/12,4) and tangent to the graph of the function f(x) = 2*x^3 - 3*x^2 + 5. I did the following:

`restart; `
`[> f:=x->2*x^3 - 3*x^2 + 5;                    [> g:=x->k*(x-19/12)+4;[> solve([f(x) = g(x), diff(f(x),x) = diff(g(x),x)],[x,k]);[> h:=k->k*(x-19/12)+4;`

## Rearranging equations...

Hi and thank you for looking.

I have recently begun advanced maths and need help with maple. Is it possible to input an algebra equation and have maple rearrange it to make it a different subject?

I am new to maple and maths again so any help much appreciated.

Also can maple for example if I input 6 equations could it or is there a way to get maple to pick two like equations out of them.

Thanks again, Danny

## Solving a complicated nonlinear equation numerical...

I need to solve the below nonlinear equation for n numerically, assuming taut and taum are between zero and one, not inclusive of zero and one.

I first used "solve(EQN,n, useassumptions)assuming taum>0, taum<1, taut>0, taut<1;", but no solution was generated. I thus removed useassumptions, and used "solve(EQN,n);", but I received the message "Warning, solutions may have been lost" from Maple. How to solve this problem?

## Prevent Infinite Plot...

Maple sometimes decides that the plot needs to be plotted from -infinity to infinite when I do not want it to.  How Maple decides to do this seems inconsistent.  Some plots having a maximum value on the order of 10^3, get plotted on the infinite scale, while others do not.  On the other hand, other plots having a maximum value on the order of 10^-32 get plotted on the infinite scale, while others do not.  In any case, I would very much like to know what...

## solving two systems of ODEs using dsolve...

I have used dsolve to obtain the solution of the inserted two systems below. The obtained results for the first system is accurate, where the obtaind solution of the second one is not accurate. I think the problem is in approximating the first system solution to be used in the second one. I would appreciate any advice on how to  obtain accurate results for the second system

restart; endv := 5; sys0 := diff(f(x), `\$`(x, 2...

## Dsolve with two systems of ODEs...

I used dsolve to obtain the solution of the attached two systems of ODEs, where the second system depends on the solution of the first one. The obtained results for the first system is accurate, where the obtaind solution of the second one is not accurate. I think the problem is using cubic spline approximation. I would appreciate any advice on how to  obtain accurate results for the second system

## How can I make a point, moving according to some r...

Hi!

Sorry for my english, I'm french! :)

I try to make a modelisation of pedestrian dynamics.

Look:

There's someone, (a dot in Maple) at some randomn place in a square.

He want to go to another place.

So, there's 3 dot in Maple:

- S: The start fixed

- X: Mr X who is traveling from S to E

- E: The end fixed

so, without any rule, X is drawing a line from S to E.

## Help Solving Problems in Maple...

Can someone please help me with the Maple language in solving the following equations?  I have already solved them by hand but I am new to Maple and am having difficulty with the coding language.  Here are the problems:

1.  Graph the parametric curve x=2t-pi*sin(t), y=2-pi*cos(t) from 0 to 20.  The curve forms loops, determine the arc length of one loop.

2.  Graph the rose curve r=sin(4theta) in polar coordinates.  Determine the area of one pedal.

## plotting problem...

In Maple 14, some functions involving coth do not plot correctly when using "plot".

Example:

`> restart;rS := 10000; cS := 1; ZWarbSolid := rS*coth((((1/4)*rS*cS*I)*exp(2*Pi*freq))^.5)/(((1/4)*rS*cS*I)*exp(2*Pi*freq))^.5;> with(plots); p1 := plot([Re(ZWarbSolid), -Im(ZWarbSolid), freq = .4 .. 3.4], color = red, scaling = constrained, style = point);p2 := plot([freq, -Im(ZWarbSolid), freq = .4 .. 3.4], color = blue, style = point...`