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Hi all,

I have a system of differential equations:

Eq1:=diff(R(t), t) = -0.22*W(t)-3000+0.3*R(t)+3488*exp(0.295e-3*t)+.744*(diff(W(t), t))

Eq2:=diff(W(t), t) = 0.304*W(t)-0.1916e-1*R(t)-2981*exp(0.295e-3*t)+2180-.36*H(t)+.6*(diff(R(t), t))

To solve, I could plug Eq1 into Eq2. However, maple will also solve this system without plugging Eq1 into Eq2. But, I see the answers are different. So, which method is correct?

Title allready says it all. I want to create a 2D plot in the xy-plane of e.g. x^(3/2) + y^(3/2) = 1 How do I do that? -.^

I get the proper graph with this function however I need to zoom on the intersection to show that the limit does not exist.

implicitplot3d((x^2-y^2)/(x^2+y^2), x = -.5 .. .5, y = -.5 .. .5, z = -2 .. 2, grid = [30, 30, 30])

 

 When I enter this function, I only get a blank plot window.  When I drag and drop it in the plot window I get an error.

implicitplot3d(z = xy^2/(x^2+y^4), x = -4 .. 4, y = -4 .. 4, z = -.5 .. .5, grid = [30, 30, 30])

  Any help is greatly appreciated,

 Jim Z

Hey!

So I am trying to write a nifty little program to show that for any x^n Leibiz method of dividing the area under the curve into rectangles of base r,r^2,r^4... so on, can this be done?

 

Thanks!

PrecalcAgain...

February 26 2009 BMullins13 80

#96

r=625       theta=pi/2

I found the 4th root of 625....it = 5.

Now, I'm supposed to use DeMoivre's Theorem. Then divide pi/2 by 4 and add k/4 times 2pi with k going between 0 and 3.

The 2nd angle should be 5pi/8, third should be 9pi/8, and the last should be 13pi/8.

((Show me how please. Thanks!))

PreCalc...

February 26 2009 BMullins13 80

#30

llvll=3              u=<4,-4>

-Find the magnitude of the given vector and divide each of the components by that magnitude. That will produce a unit vector that is the same direction of the given vector. Since it wants the magnitude to be equal to 3, multiply each component by 3. Make sure the radicans are out of the denominator. The answer should be a vector in component form.

 

#48

llvll=3            u=3i+4j

stationary points...

February 26 2009 jenny_0502 20

I am trying to find the stationary ponts of f(x,y) 5*x^3-12*x-3*x*y+6*y^2-4;

so far, I have got

A:=diff(f,x)=0

B:=diff(f,y)=0

e1:=RootOf(A,x)

e2:=RootOg(B,x)

G:=solve([A,B],[x,y])

do I now need to use allvalues?

 

if so, I get

 

V:=allvalues(G). This gives me two values of x and y.  (one with a positive root and one with a negative root)

ie. v=[[x=c - sqrtb,y=4c - 4sqrtb],[x=c+sqrtb,y=4c+4sqrtb]]

r:=diff(f,x$2) =30x

s:=diff(f,x,y) = -3

stationary points...

February 26 2009 jenny_0502 20

I am trying to find the stationary ponts of f(x,y) 5*x^3-12*x-3*x*y+6*y^2-4;

so far, I have got

A:=diff(f,x)=0

B:=diff(f,y)=0

e1:=RootOf(A,x)

e2:=RootOg(B,x)

G:=solve([A,B],[x,y])

do I now need to use allvalues?

 

if so, I get

 

V:=allvalues(G). This gives me two values of x and y.  (one with a positive root and one with a negative root)

ie. v=[[x=c - sqrtb,y=4c - 4sqrtb],[x=c+sqrtb,y=4c+4sqrtb]]

r:=diff(f,x$2) =30x

s:=diff(f,x,y) = -3

hey there! I was woundering.. What is the command for an ordinary plot, to lable the points on the x-Axes at points, like π, 2π, 3π and so forth. It would be very usefull for plots of trigonometric functions. I didn't find the option in the Help page. What i found, is the option by right clicking on the plot - but it is greyed out most time, and i would like to know the command anyway, so it would allways plot right, when i re-execute the Maple document. cheers!

I need to solve this by using polar form.

(2-5*i)^12/(4+i)^11

I found polar in the help section and used it like this:

polar((2-5*I)^12/(4+I)^11);

Is that it or is there something else I need to do?

I am using Maple 12.01 and I am using dsolve to solve a second order ODE;  example :

eq:=diff(y(t),t,t)+sin(t)*diff(y(t),t)+y(t)^2-5*y(t)=0;

ic:=a->[D(y)(0)=0,y(0)=a]; # initial conditions.
 

I want to investigate the  values of z(t, y, y') when g(t, y,y') = 0. Here z might be y''' or cos(t y') and g  might be y(t)-4.

What I would like to do is create an Array whose nth entry is of the form [ tn, z(tn,y(tn), y'(tn)]  where tn is the nth value of t at which the condition g(t, y,y') = 0 is satisfied.

Please help me finding a formula for nth derivative of

1/sqrt(1-x^2) and 1/sqrt(1+x^2)

MapleSim 1.01, an all-platform maintenance update to MapleSim 1.0, is available to all users.

The MapleSim 1.01 update provides support for the MapleSim Connectivity Toolbox, as well as updates and improvements in usability, stability and performance. Even if you are not planning on using the Connectivity Toolbox, you should still install this update.

Hi all,

I am assuming this is a pretty easy thing to do. I am solving a system of differential equations, and then want to export my results to maple. I basically want the solution to the system for 40 time steps (counting by 5).

By hand this is

Maple's Hankel Transform...

February 26 2009 areslagae 64
0 6

I want to compute Hankel transforms with Maple.

I have noticed that Maple uses a different Hankel transform than the one in e.g. Bracewell (p335).

Maple computes

Integral{f(t)*Jn(s*t)*sqrt(s*t)dt, t:0->inf},

while I want to compute

Integral{f(t)*Jn(s*t)*t dt, t:0->inf}.

How can I compute the Hankel transform below with Maple?

 

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