I'm trying to do this project but I keep getting an error message...does anyone have any ideas???

Hello, I have a function that produces different phase portraits as you change the variable x in the original equation. Im trying to find out at what values of x this change occurs...

So far I have determined the eigenvalues with regards to x and have run loops to find out roughly when this happens but i would like to be able to do this with either a procedure of perhaps dsolve or solve maybe?

So, given the eigenvalues, how would i go about doing this?

For a matrix W, the command limit(W^t,t=infinity) does not work. Is there a way to evaluate this limit in maple ??

I knew that fsolve can solve equations by given an interval or a starting point. Like these

fsolve({x-y = 1, x+y = 1}, {x = 0 .. 1, y = 0 .. 1})

fsolve({x-y = 1, x+y = 1}, {x = 0, y = 1})

But what if I knew the interval for only one of the the variable? After I run this code

S={v1=[-4 v2=[7 v3=[-3 v4=[-6 v5=[1 } -2 1 3 -6 3 -1 -2 0 -1 4

Is there a way to check a function for positive definiteness or local positive definiteness?

Eg: v(x1, x2, t) = (x1^2 + x2^2)*exp(-t)

-Joel

please help me here:

we have the following series:

1/2-Pi/(4*sqrt(3)) = sum(1/((6*n)^2-1), n = 1 .. Infinity)

(5-Pi)*(1/4) = sum((-1)^(n+1)/(2*n+1), n = 1 .. Infinity) {***}

-1/5+(1/6)*Pi-(1/12)*sqrt(3)*log((2+sqrt(3))/(2-sqrt(3))) = sum((-1)^n/(6*n+5), n = 1 .. Infinity)

Dears, I'm using Maple 11. In math mode, I want to input a notation with a line or tilde above it. But I don't know how to do it. And I need some help.

i have :

h(x):=arctan(tan(x)*tan(x)):

how do i find:

int(h(x),x=0..Pi)

i think its value is pi^2/4

suppose if we also have

g(x):=arctan(cos(2 *x))+Pi/(4):

how do we find:

int(g(x)-h(x), x = 0 .. Pi)

thanks

Hello,

I have got the following problem:

my data is stored in 3-dimensional arrays but I need my data as Vectors in order to call the function FourierTransform.

Right now I transform it by hand like this (my data is stored in the 3-dimensional array fArray):

fVector11:=Vector(N): fVector12:=Vector(N): fVector21:=Vector(N): fVector22:=Vector(N):

I'm using Bodeplot comando:

Bodeplot(sys,decibels=false,subsystem=[[1,1],[1,4],[1,5]]);

This gives three grafs in the plot.

Do anybody know how I can get Maple to add up the grafs into one graf?

I'm a Maple newbie and I am struggling to figure out how to compute the following:

1) Jacobian of a time dependent function:

For example I have a vector Phi = (x1(t),x2(t)) and I wish to compute the Jacobian of this vector with respect to x1(t) and x2(t) and I want to maintain the explicit reference to these entries as time dependent components.

What I can do:

I'm using fsolve to solve a system of two equations with two unknown variables. Like this,

fsolve({u(b) = z(b-a), u(a) = Zeta1(a-b)}, {a = -.2, b = .2}).

As we know, the solution shows like this:

{b = .2189682330, a = -.1937146254}

I am trying to solve the following function for 'r' and 'theta' at various values of 'a' and 'zeta' in order to detemine the saddle points (r,theta). I have tried the following and it works fine! However, the process takes quite a long time. I was wondering if there is another method...say Newtons Method or otherwise to go about solving the two simultaneous equations (eq1,eq2) for (r,theta)?

Thanks

Robert

a:=1: zeta:=1:

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