How does one simplify an expression and keep the base number, if it is a perfect square?

If for example I have  (16^j)/16  and I want  16^(j-1)

simplify(%)
                                  (4 j - 4)
             ...

I am new to Maple and trying to use it for a school project. I actually have this section of code written in a textbook and I want to use Maple to solve and plot this predator prey model. Here is what I have, Im not sure why it won't work any help will be geatly apprciated.

> e1 := diff(e(t), t)-0.325e-1*e(t)+.8*e(t)*w(t);
> e2 := diff(w(t), t)+.6*w(t)-0.5e-1*e(t)*w(t);
> sys := {e1, e2};
> ic := {e(0) = 18.0, w(0) = 0.21e-1};
> ivp := `union`(sys, ic);

Hello, I have a problem with plotting graphs with a constant.. I have one system of equations and one another equation:

dx/dt=x(t)

dy/dt=ky(t)

and 

|y|=C|x|^k

I need to compare theit curves.

k and C are constants. I thought it is alright if I would remove constants, BUT there is one in the power, so I have no idea what to do.. 

I just tried to plot the system, but it doesn't work either:

I'm filling an array of functions like this:

below code is calculate basis of kernel and kernel

i guess basis of image is 

remove(has, Ga, [r,u,v,w]); if this correct, i eliminate this, i can get the image

however it include variable 'a'

is it correct? if not, how to calculate? 

my final goal is to make unexact sequence into exact sequence

Hello, I have a problem in plotting the vector field of dx/dt=sinx/sint

It shows me an error:

Error, (in DEtools/dfieldplot) unable to evaluate function `sin(x)` in evalhf

Dunno how to fix it

Here is my code:

DE := [diff(x(t), t) = sin(x)(t)/sin(t)];
with(DEtools):
DC:=[sin(x)/sin(t),.1]:
dfieldplot(DE, x(t), t = -2 .. 2, x = -1 .. 2, arrows = medium, title = 'Diff', color = DC);

Hello,

I have an awfully complicated expression depending on three variables m1, m2, m3 and a lot of parameters. When I try to substitute m1, m2 and m3 by 0, 0 and 1 respectively, m1, m2 and m3 are effectively replaced but lots of (0)s and (1)s appear after some of the parameters (and even 0(0), 1(0), 1(1), 0(1)...)

What does this mean and how to avoid it? Following is an example of the problem.

Instruction:

Hi

I am trying to do a phase plot of an autonomous system using DEplot command. However, no phase plot appears. Could you tell me what am I doing wrong? The same code worked for my professor in class, but it's not working for me. I am using Maple 16. The code is posted below.

> with DEtools

> sys := diff(x(t), t) = y(t), diff(y(t), t) = x(t)*(1-x(t)*x(t))+y(t);

> DEplot([sys], [x(t), y(t)], t = 0 .. 0.1e-8, x = -3 .. 3, y = -3 .. 3, color = black)

am trying to solve this code by changing boundary conditions but all the time it gives error that some points are not included i dont know what the reason is or may be my boundary conditions are not utilized please check it am attaching my file trytimg.mw

Dear All,

evalf(RoofOf(Z^6-3*Z^4+3*Z^2+Z-1,index=real[2]) fails to deliver a numerical value.

1. I can use fsolve to compute the real roots but I need to replace all the occurences of RootOf by its numerical value in lengthy expressions.
2. Also simplify(RoofOf(Z^6-3*Z^4+3*Z^2+Z-1,index=real[2],RootOf) does not work.
3. I read the other posts related but could not find any answer.

Thanks for any help,

S.

  Hey,

 I am using maple to do some numerics (bound to use it instead of mathematica because of university guidelines) and my problem is that as the plotting options of maple are a bit unsatisfactory I need to export my data. This has worked fine so far using the writedata-command while I was working on normal (10 digit) precision. Now however I need to increase the precision and to my dismay writedata just cuts everything after the normal 10 digits away and...

Hi again!

Just a simple question...

Is it possible to i remove runits with a command? i know that i can right click on a value with units, and choose remove unit.

But it would be better if i could use a command like simplify

Hi I know this is a simple question but i have completely forgotten how to do it: I have the following equation, 

h := ((A-B)^2*(A-4-B^2+4*B)*(A-4-B^2-4*B)-Q^2*(A-4-B^2+4*B))/(Q^2*(A-4-B^2-4*B))-1

how can I find what B is equal to?

hi friends am using maple 13 which is unable to find exact solutions for pdes

because for exact solution i should have maple 15 but am not able to install that so please can anyone of u can find exact sloution for me of the pde

pde := diff(U(x, y), x, x)-3*(diff(U(x, y), y, y))+16 = 0 where boundary conditions are

U=0 on x=1,-1

U=0 on x=1,-1

diff(U(x, y), y) = -U on y=1, -1< x

diff(U(x, y), y) = U on y=-1, -1< x

Hi everybody,

I have a follow problem:

Maple offers generate graph (network) for example in this way:

G:=Graph({{1,2},{1,3},{2,3}})

where  {{1,2},{1,3},{2,3}} is a list of edges.

In my study I need to generate a big graph (network), where list of edges is very long 
(contains more than 100000 edges).
Can I import from my directory (for example C:\\Desktop\) file, contains edges.
Now I copy from txt file all list of...