## ODE Plot multiple plots...

Hi all,

I am trying to plot multiple ODE plots in Maple 16. I can do them all separately, but cannot figure out how to make to solutions appear in the same plot. I have numeric solutions for sol1 and sol2, and I want to plot A(t), t for each one (together).

Thanks for the help!

## Is MapleSim able to Linearize a Multibody system ...

Hi,

I am trying to get the linearized model of a multibody system which has multiple inputs and multiple outputs. I initially used the "linearization template" of the MapleSim for an inverted pendulum, it worked fine. However, when I tried to get the linearized model for the double inverted pendulum, it gave this error message "problem at initial time: system is underdetermined; cannot solve for the following variables: 'Main.DFPSubsys1inst.eM_MyPendulum1_R1(t)'".

## multi spring model in maplesim...

How would one set up a multispring model in maplesim?

Actually I don't know the exact model I want to try to explore yet, but I was wondering if someone could show an example of, let's say a beam with 4 springs attached offset to one end.  On one end of the beam we inject vibrational frequencies and graph the output on the other end - doesn't matter which end - I imagine we could explore both from both ends.  How could we set that up?

Here is my example picture.

## Filling in a plot with multiple(plot)...

This is what I do.

f1(x):=sqrt(x);

f2(x):=x^(2);

with (plots):multiple(plot,[f2(x),x=0..1,y=0..1,filled=true,color=white], [f1(x),x=0..1,y=0..1,filled=true,color=blue,axes=boxed]);

My problem and question is.. it doesn't display the plot that I wanted ( a leaf) and neither does it fill it in with blue. What am I doing wrong?

## how do i plot multiple plots in a graph?...

i am plotting multiple plots in one graph using the following commands. This has been successful for a different function but it doesnt work at all for the typed function. can you pinpoint my mistake? maple sheet is attached as well.

` `
`> restart;> w(r):=1+(S)/(2)*[(r^(2)-1)/(2)-4*ln(r)]-(b*S^(3))/(4)*[(r^(4)-1)/(4)+128*((1)/(r^(2))-1)-6*(r^(2)-1)+48*ln(r)]+(3* S^(5)*b^(2))/(8)*[80*(r^(2)-1)-5*(r^(4)-1)-640*ln(r)-640*((1)/(r^(2))-1)+(r^(6)-1)/(6)+256*((1)/(r^(4))-1)];`

## How to check if multiple variables are different?...

I am looking for a way to check if multiple variables are different. Let's say I have 4 variables named a, b, c and d. You can do it with "a!=b and a!=c and a!=d and b!=c and b!=d and c!=d", but it quickly becomes impractical when you have more variables.

Can anyone shed some light on this?

Thanks!

## Return only the base angle?...

If I have

F = x + 2π_Z1~

Is there a function/operator I can apply to F which returns only x, discarding 2π_Z1~?  That is, I want to return only the base angle, and dump the added integer multiple of 2π term.

## Plot zeros of an ODE...

I want to plot the zeros of an ODE dependent on the change of a parameter of the ODE. My idea is to make a loop where i save the zeros to the given parameter into a file, so that i get multiple files with the zeros in it, and then make a plot with the parameter as x coordinate and the zeros as y coordinates. How can i make this possible in Maple? How can i set a variable filename, for example "parameter name = value".txt?

## assign single value to multiple variables...

Is there a simple way to assign a single value to multiple variables?

just as an example, instead of labouriously entering a1:=5: a2:=5: a3:=5  ... a40:=5:

This way I present here doesn't work as I thought.

a:=[seq(a||i,i=1..40)]:

for ii in a do
ii:=5:
end do:

a1;
a1

Any suggestions?

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