Download FreeFallEquivalen.mw

Hi,

I'm new to Maple; well, I've been 'away' from Maple for a number of years and now I have several compelling reasons to get back into the thick of parts of Maple.

I constructed a very simple ODE model of dropping a mass from a height h and letting it hit a massless platter on a spring, with the other end of the spring connected ground.  One...

f :=  (0.1953125000e-2+.3750000000*(RootOf(-512*x-7+192*_Z^(2/3)+24*_Z^(1/3)+512*_Z-6*(512*_Z+192*_Z^(2/3)+24*_Z^(1/3)+1)^(2/3)+12*(512*_Z+192*_Z^(2/3)+24*_Z^(1/3)+1)^(1/3))^(2/3))+0.4687500000e-1*(RootOf(-512*x-7+192*_Z^(2/3)+24*_Z^(1/3)+512*_Z-6*(512*_Z+192*_Z^(2/3)+24*_Z^(1/3)+1)^(2/3)+12*(512*_Z+192*_Z^(2/3)+24*_Z^(1/3)+1)^(1/3))^(1/3))+RootOf(-512*x-7+192*_Z^(2/3)+24*_Z^(1/3)+512*_Z-6*(512*_Z+192*_Z^(2/3)+24*_Z^(1/3)+1)^(2/3)+12*(512*_Z+192*_Z^(2/3)+24*_Z^(1/3)+1)^(1/3)))^3

How to solve this receurrence relation with maple

I found various methods, as listen here http://en.wikipedia.org/wiki/Recurrence_relation, to solve recurrsion relation. For example, methods of undertermined coefficients

But how to use these to solve the the above recursive relation.

Hello

I'm trying to animate a DEplot3d, but is that even possible? If it is, how?

Budgie

with(gfun):

> s := series(sin(x), x, 9); seriestoalgeq(s, y(x));
                  1  3    1   5    1    7    / 9\
              x - - x  + --- x  - ---- x  + O\x /
         ...

I tried to use the Physics package in maple 13 to make operations in the algebra M_2(E) - the algebra of 2x2 matrices over the grassmann (or exterior) algebra. E is a noncommutative algebra, and some of its elements anticommute with each other.

The problem is that when I multiply such matrices, the answer is not right. Maple multiply this matrices considering the entries as commutative, what is not true.

Here are the commands I used:

> with(Physics);

I've made a model and i wanted it to work out a distance, which it does. But it gives me an answer in the for a/pi, where a is a number. In my model I've used angles, which maple uses as radians. But I want the answer to be a decimal number and not the fraction in the form a/pi, even thought the value a/pi when worked out is right.

How can I convert this a/pi into a decimal number?

Do I need to use the convert command, and if so what goes in the brackets of this command?

Hi all

I have used pointplot3d to plot a set of points using three vecotrs v1, v2 and v3 which all contain many elements and the same number of elements.

I would like to know how to plot a new set of elements for new vectors v4,v5, and v6 on to the same plot as the previous set of values.

Could I then give each of the two sets a different color?

Hello

I'm working on implementing a plot of the Lorenz equations, and I'm trying

  proc(something, something, more something) local something more;

  uses DEtools;

  something;

  end proc

And I get this response:

  Error, `DEtools` is not a module or member

What can I do? "uses" works for plots, LinearAlgebra etc. Why doesn't it work for DEtools?

I have this non-linear ODE in q(p):

ode := diff(q(p), p) = (q(p)-a*p)/(p-a*q(p))*(p^(-b)-1)/q(p)^(-b);

for some real parameters a and b, it may be solved in exact form for the special value a=1.

Is there any hope of getting a closed-form solution or of expressing the solution in a neat way for the case 0<a<1? even some specific value of a would be of interest, e.g. a=1/2.

dsolve(eval(ode,{a=1}));

let us consider the series

y = a_0 - sum(a_i,i=1..n)

here the terms a_i are defined recurrsively as follows

a_i = (a_(i-1) -4*ln(x)/ln(10) + 4/10 + 4*ln(a_(i-1)) )/ ( 1+ 4/(a_(i-1) * ln(10)))

how can i program this in maple. so i can...

Why doesn't 'ln(e)' simplify to '1' in Maple 12.02?

The problem arose from trying to simplify the solution of an ODE that contains a combination of exponentials, logarithms and powers. Maple refuses to simplify, whereas I can easily read the simplified answer. Maple seems to ignore the simplest of algebra concerning power, logarithms and exponentials.

what is the general sum formula for the following seires (we may notice from these few terms it has a pattern)

I so thankful for your help. Please help me expressing this expression compactly is there any pattern here?