How to find the total derivative of h(x,y,z) = (x+ y - z, sin(xyz) + e).

maple help shows partial derivative explanation but has not much for total derivative. I haven't learned total derivatives yet so any help is thankful.

thx

 

I have a problem with my calculations. I have changed the Order to 15. If I go any higher than this I get the error message:

"Error, invalid input: rhs expects 1 argument, but received 0"
 

after the loop. I need to calculate more terms. Does anyone know why this is happening and how I can fix it?

This is the spreadsheet

> restart;
> with(plots);
> nmax:=14:
> Order:=nmax+1:

Hi

I was wondering if maple is capable of making a plot with 2 y axis, I'm thinking of something along the lines of having temperature as a function of time, displayed in both deg C and deg F, on the one plot.

I have the student edition of maple 11.

Many thanks

Frontline

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)

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