## Discontinuous Initial Conditions... Shouldn't Be?...

So I am working on doing some trajectory simulations in Maple using standard Newton's Laws, some force expressions, and initial conditions.

Anyway, the numerical solution works fine if I let the initial conditions I specified (for z=-1) be actually for z=-0.9. To illustrate, when I give an initial condition like this:

x(-1) = x_0, D(x)(-1) = xd_0, Vz(-1) = v_0

the results don't make any sense. However, when using the same x_0, xd_0, and v_0 and I give initial conditions like this:

x(-.9) = x_0, D(x)(-.9) = xd_0, Vz(-0.9) = v_0,

the solutions at least make a bit of sense.

What's weird is that, when I let z -> 0.93 or so, the solution changes discontinuously. And this shouldn't happen. The initial conditions were calculated for and should work for z = -1. I don't understand why they aren't.

Here is my Maple document. ics1 are the problem.

dsolve_field_traject.mw

Do you guys have any idea what could be going on?

## Error with binomial...

Hi,I want to compute some expressions as binomial(d-2,r)*binomial(v-d-1,r-1) and something like that. In the process, there are many such expressions but with differernt parameters. Some of them can pass successfully, but some of them will generate a mistake. That is: Error, (in gcd/LinZip) variable in input expression must be in either the evaluate or retained variables.Could you please what happened to it? Thanks.

## How we Eigenvalue of Differential Equation?...

Aslam-u-Alikum... How are you? Hope you will be fine. I want to determine the eigenvalues of differential equation in Maple kindly help me... Problem.docx

## How we compare the Like powers?...

Aslam-ul-Alikum I need some help urgently. I want to compare the coefficients of like powers of Y_1*Y_2, please help how i compare it in maple

## How to I create the Runge-Kutta's and Euler's meth...

Hi, I got a doubtI don’tknow how to make the Runge-Kutta’s and Euler’s method. The Runge-Kutta for thesecond and fourth order. I don’t know how to beginning the algoritms, I needsome help. Thanks.

hello, i'm using maple, in order to draw a graphic in wich, different functions are plotted,
these functions came from one with 4 variables, wich represents losses in a phenomenon (extraction) depending on diffenrent variables, so my objective is to varry only one parameter and then draw its curve, and this for each parameter ; i had 4 functions.

with(plots):

f1:=plot((n-1)/(-1+n*10^(6.77*((n-1)/n))), n=1.0537..1.2688):

f2:=plot(0.2365/(-1+1.2365*10^(0.0155*O)), O=76.42..99.92):...

## finite element shape function...

Hellow,

any one know how to solve the second order differential equation using finite element method (Using Linear shape functions)

## in evalf/exp/general object too large...

I have written the maple code to calculate time domain value of the laplace domain equation. It contain slowly converge double series so that I used epsilon algorithm to accelerate convergence. one summation contain 7 terms and another summation terms reduce to 850 terms after the use of epsilon alorithms. I also used deHoog algorithm with 9 terms to obtain time domain data but maple give the following error:

Error: (in evalf/exp/general) object too large

Do...

## How can I deal with block design with maple?...

If I have the parameters-(v,k,lambda) of a combinatorical design, I wonder whether I can get the incidence matrix of the design or not with maple.

Remark:v is the number points of the design; k is the number of points on each line; lambda is the number of points common on every two lines.

Thanks!

## Repost: Looking for a way to calculate jacobian of...

Here is my sheet. non_linear_P2_last_q.mw

In this problem I have achieved every thing what I aimed, thnaks to the wonderful people here!!!

I am looking for a way to do it in a more structured way meaning the calculation of Jacobian in the attached sheet is somewhat manuel, though I wonder does maple has some other way?

## dsolve: additive constants of integration lost...

Hello,

I'm solving a system of 3 second order ODE's for 3 unknown functions, using dsolve. But in the output, I receive various sets of solutions which contain only 3 constants of integration. A friend solved the same system but in Mathematica, and received more constants of integration.

I guess this has to do with the issue that Maple omits additive constants of integration almost everywhere.

Is there some solution? i.e. some way of using...

## Appropriate numerical scheme for this eigen value ...

I am looking for a numerical scheme which can easly handle such type of problem.

I already had the analytical results of this problem, now I want to know how to treat this problem numerically.

Any idea, then please let me know.

Thanks

## How to get Double Curl of an equation?...

Hi every one,

How can I get bouble Curl of this equation

In the above equation, the first term has the Laplacian, the second one has the gradient and in the term "k" is the unit vector and also u=(u1,u2,u3). sqrt(R) is a constant.

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