Hello,

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:

This refers to standard (no problem with classic) and was asked before. However, it does not work for me.

With a German Windows XP and Maple 12 plot(sin(x), x=0..2*Pi) shows 0,5 on the y-axis, where I want 0.5. I tried tools>options>language settings and kernelopts(locale). This shows "English_United States.1252" -- but the comma persists. I changed the Windows language setting to EN -- this gives me the wrong keyboard, but still 0,5 as ticklabel. Please help!

Peter

please help me here:

we have a function:

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

now let us look at the even derivative of this function at x = Pi/2. that is:

f^2(Pi/2) = -2

f^4(Pi/2) = -16

f^16(Pi/2) = -32

f^8(Pi/2) = 18944

f^10(Pi/2)= 1904128

is there a pattern in these numbers?

thanks

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Hi, this is the first time I use this forum. Please let me know if my questions already have been gone throw. Today I have two simple questions: 1.       How to conduct polynomial division in a fast, easy and clickable way?

please help me here:

how can i integrate, say for example f(x) = cos(x), n times. means. how to find?

int(...int(int(int(cos(x),x),x),x)..,x)

thanks