I am having a problem differentiating a function. I have a fluid in a channel with moving walls corresponding to y=a(t) (upper wall) and y=-a(t) (lower wall). The fluid is driven by suction out of the walls. The speed of the fluid being sucked out of the walls is the constant v_w. I am using the variable eta=y/a(t) to model the fluid. y is the normal direction to teh channel and x is the streamwise direction of the channel. So I have

x=streamwise direction of the channel

y=normal direction of the channel

a(t)=height of the channel

v_w=constant

I'm a brand new user. 

Maple 12, Windows Vista, Integration Tutor.

When viewing the steps in the solution, Maple does it's own u-subs ("change of variable").  Is there any way to see what it is setting "u=?"?

It's very difficult to follow the steps when I can't tell what it's subbing out.

Also, within the same tutor, it doesn't seem to like to intigrate to infinity.  It tells me "...infinity should be a number."  ! ? ! ?

Thank you in advance.

Jim Z

Dear all:

   I wonder if there is any function in Maple checking whether a given function is (m-th) differentiable or continuous? 

Thanks,

Peter

I need to plot [cos(v)*x(t), sin(v)*x(t), v] where x(t) is the solution to

diff(x(t),t)=sqrt(1/(-x(t)^2+1)-1)

I can use DEplot to show me an approximation of x(t), which is what I want, but I need to graph the afformentioned 3d plot. I am not having success with DEPlot3D, because I can't figure out how to plot it with the cosine and sine functions shown above. I would appreciate any help.

Hello,
I have animation trajectory of motion. I have displayed as line it. But I need displayed as point, which will move.

Let w =f(z) = sum of z^(k+a) / (k + a)

where k= 0 to infinity and a is a nonzero parameter.

I need to find the inverse of this series, z = g(w). The powseries examples in Maple Help don't help. They don't work on my example, with a symbolic variable, a, stuck in there.  I hope that if I see about 7 or 8 terms of the inversion, I will get the general pattern.  I have tried to compute the inverse directly from the Lagrange Inversion Formula, but the complexity always grows too quickly for me to complete the solution, no matter which shortcut I try to take.

Use a procedure that takes as input a positive integer and two real numbers a and b
and produces as output  a polygon centered at (a, b). Base on the procedure,  obtain a list of twenty decagons centered in (0, 0), (1, 1), ..(20, 20)

(I have no hint,please help, thanks)

Write a procedure

input:a polygon and a linear transformation

output :applying the transformation to the polygon
 

Find the coordinates of the linear transformation that would have  the a larger square to the pink (smaller) square.Apply the transformation to the blue square.
 

please help with this, thnaks

I have the expression

p(x,a) w''(x) + q(x,a) w'(x) + r(x,a) w(x)

How could I obtain p(x,a), etc.?

Thanks,

              Sandor

Hi my dear friends,

I’ve developed a simple procedure as follows: