Hello,

I have the following problem:

My function is defined by the determinant of 2 Heun functions

If I plot the phase I get something which looks quite what I'm looking for.

To get a better result I thought I would manually carry out the Wronskian as far as possible...

Doing some manipulations I get another form of the Wronskian which in fact should give the same result...

the problem is it doesnt :-(

I've added the spreadsheet....

In the solution set linked to above, I would like to replace each instance of the constant with ω. I feel that this should be possible with algsubs, but cannot figure out the proper...

Hello,

I am facing the error message "Error, (in factors) Bad inputs to diophant." raised by a call to

factors(p, {I, sqrt(3)}) 

for a polynomial p in 7 variables (with integer coefficients). Unfortunately, the error is not reproducible: After some thousand calls to factors (with different polynomials) this error suddenly occurs.

1. Interestingly, it does not depend on the actual polynomial,...

I know how to solve system of differential equations numerically, but now I want to know how to set a bound on the solutions. 

For example, if my system of DE is like this:   dx/dt = x+y   dy/dt = x-y    , solve x and y in t. 

I can solve this without any restriction on x and y, now I need to know how to bound x and y, e.g. x can only fall in the interval [0,1]

Thank you very much!

Here are two procedures associated with a clock with hands. I think they are interesting not only for fun, but will be useful for teachers in schools in the preparation of such tasks.

The first procedure called  ClockHandsAngle  finds the angle between the hands of the clock at any time.

The second procedure called  TimeFromAngle , for a given angle finds all times in a given time range. The first procedure  is...

Hi, I am trying to do the calculation with a matrix, and I have hard time to find a way to calculate the Moore-Penrose generalized inverse of a matrix in Maple. Could anybody help me?

    A powerful approach to the teaching and learning of mathematics for students of science and engineering has been made practical through the development of powerful general mathematical software, of which Maple provides the least steep learning curve.  Accordingly, it is timely to produce an interactive electronic textbook that, for students of chemistry -- also biochemistry and chemical engineering, has as its objective in part I,
Mathematics for...

I have a solution with RootOF(_Z^6+....). I do not need to find the roots explicitly(I know that I should use 'allvalues' to find the roots). My question is "Is it okay if I use RootOF(...) expression in another equation without finding the roots explicitly? I mean does RootOF(_Z^6+...) stand for all its roots and can it be used for each roots?"

Thank you in advance.

Anybody has a hint on how to solve a non-linear system with trigonometrics. I want to solve x, y and z.

How do you graph y''+8y'-9y=0?

How do you graph 4y"-y=0?

And for these i need to sketh the graph of the solution solution and describe its behavior as t increases.

with Maple?

Fridays Killer Questions 7city Learning:

Question) The number sequence is: 2 1 3 6 5 11 18 17 which number should come after 17?
Answer) 35

Fridays Killer Questions 7city Learning:

Question) You're the captain of a pirate ship and your crew gets to vote on how the gold is divided up. If fewer than half of the pirates agree with you, you die. How do you recommend apportioning the gold in such a way that you get a good share of the booty, but still survive?

Answer) You divide the booty evenly between the top 51% of the crew.

Fridays Killer Questions 7city Learning:

Question) You have two containers, one holds five gallons, the other holds three. You can have as much water as you want. Measure exactly four gallons of water into the five gallon container.

Answer) Fill up the three-gallon container and pour it into the five-gallon container. Do it again – there will be one gallon left in the three-gallon container. Empty the five, pour in the one,...

Fridays Killer Questions 7city Learning:

Question) You have 100 kg of berries. 99% of the weight of berries is water. Time passes and some amount of water evaporates, so our berries are now 98% water. What is the weight of berries now?

Answer) The unexpected, yet correct, answer is 50 kg. It seems like a tiny amount of water has evaporated so how can the weight have changed that much? There is clearly 1 kg of solid matter in the...