I have a differential equation, let us call it

F:=12*diff(u(x),x$7)^(3/2)*diff(u(x),x$2)^3+8*diff(u(x),x$6)^4+4*diff(u(x),x$4)*diff(u(x),x$3);

First, I need to know the term containing the highest order derivative:

with(PDEtools):

k:=difforder(F);

This command returns k=7 and now I need to deal with the term:

12*diff(u(x),x$7)^(3/2)*diff(u(x),x$2)^3

Now my question begins. How can I get

1) The non-derivative coefficient of this term? (answer is 12)

i have a second-order nonlinear equation with an infinity condition....at first i assume F'(0) like alpha....after finding F(x),i will use pade for F...but i have a problem,cause my condition is F(infinity)=0 and by limiting i cant find alpha because when it goes to zero,it doesnt depend upon what the alpha is..it backs too orders...so...how can i use pade for finding F'(x)?!!!....plz help me:((

Our university has recently begun a migration to an Exchange based e-mail system. With this change we are no longer able to send Maple worksheets (.mw files) as simple attachments to our messages. Here is the latest (and most informative) information I have received about this situation:

If I have two consecutive lines of code and I want to insert a line of code between these two, what I do is I go to the top line and press CTRL J or go to the bottom line and press CTRL K.  This creates a red arrow (the type that indicates a new line in Classic Maple Worksheets), but I'm in the non-classic maple worksheet and I don't want those red arrow there.

I have a list of coordinates  and would like to sort them so that in the new order, the third coordinate is increasing.

For example,

data:=[ [2,3,1], [3,6,-1], [5,0,3] ]

should sort to

[ [3,6,-1], [2,3,1], [5,0,3] ]

There must be an intelligent way to do this.

 

Maple transforms the sum

sum( i*binomial(k,i) / (k-1)^i  , i=0..k )

to

(k/(k-1))^k,

which converges to e. The exact input and output is listed below. However, how does this surprising transformation work? I tried to use the infolevel command to see what actually happens as shown below. Is something wrong with my use of the infolevel command? Does maybe "definite sum" mean that this is a predefined sum in maple? In this case, is there a possibility to list this sum or to get a reference to an external document?

I've stumbled across this double integral... int(int(2*x*sin(y),y),x); for which Maple can do it perfectly. However, if I specify the range for x and y, Maple will complain: int(int(2*x*sin(y),y=0..1),x0..1); Error, (in assuming) too many levels of recursion I'm just wondering if there is any other way around of evaluating this definite integral?

How do I plot the inequality x<7 on the real number line?

How do I plot the points -2.5, -2,.5, and 1.5 on the real number line? I found how to plot in the 2-D plane, but I just want to plot on the real number line.

 

How do i find a nonzero value of C so the function u(x,t) = c(e + e)  satisfies the equation  (du/dt)+u(du/dx)+(du/dx) = 0

I've tried with maple help but seems like i'm getting no where with this.

Any suggestion or help with this is much appreciated.

Hello - I'm trying to double check a hyperbolic pde I solved but I don't know how to input the following boundary conditions in order to run pdsolve.

u(x,0)=f(x)

du/dx(x,0)=g(x)

What is the maple syntax to write these as boundary conditions?

Thanks.

 

How do I get the entire astroid given by the equation x^2/3+y^2/3=1 to show?

I've used implicitplot(x^2/3+y^2/3=1,x=-1..1,y=-1..1), and only 1/4 of the astroid is shown.

thanks for your help.

 

I need to find I₁ to I₉. I need to find this using the Kirchhoff's Current Law and Kirchhoff's Voltage Law. ( we haven't seen yet what both of these laws are)

Hi again. Thanks for all the help last time. I've got (hopefully) just one more question. It's kinda difficult to explain... I want to plot the points determined by a[2, 2*n]/a[2,2*(n-1)] against 1/n (actually 1/n versus a[2, 2*n]/a[2,2*(n-1)]), for large n. I'm pretty lost. Should I be computing the points from the recurrence relation with a 'for' loop and then re-assigning 1/n for each one instead of n and then putting the a[]/a[] and 1/n into an Array, which I can then plot? Thanks guys, Tom

Hi,  Maple seems to be unable to solve this kind of differential equation.

 

dgl:=diff(f(x),x)=f(x)-f(x-1);

 dsolve(dgl);

 

Error, (in ODEtools/info) found the indeterminate function f with different arguments {f(x), f(x-1)}