Hi, I'm trying to find the first ten roots of the equation:

sin(a*Pi)*sqrt(4*a^2+3)*cos(sqrt(4*a^2+3)*Pi)+sin(sqrt(4*a^2+3)*Pi)*a*cos(a*Pi) = 0

But fsolve only finds one root, and not necessarily the first one. So I'm having a difficult time getting the first 10 roots without preknowledge of the intervals to search in. (I can obviously plot it, but there are some other parameters which affect this equation and I can't manually find the intervals every time I change them).

I've a problem with the buttons. It's not a problem to make a line break, but if I reload or change the text into my button (while the program ist running) maple/maplets ignores all line breaks.

Here is an small example (maybe not the best):

with(StringTools):
with(Maplets[Elements]): ToGreen := proc()
Maplets:-Tools:-Set(B(caption) = "blue\nhallo");
end proc:

maplet := Maplet([   

g1 := Vector([0, y, x]);

g2 := Vector([0, y^2-x-y, 0]);

g3 := Vector([x, x+y, 0]);

g4 := Vector([y, -y, 0]);

g5 := Vector([0, x*y+x/2+y/2, 0]);

g6 := Vector([0, x^2-x/4-y/4, 0]);

[g1, g2, g3, g4, g5, g6]

cc := [Vector(3, {(1) = 0, (2) = y, (3) = x}), Vector(3, {(1) = 0, (2) = y^2-x-y, (3) = 0}), Vector(3, {(1) = x, (2) = x+y, (3) = 0}), Vector(3, {(1) = y, (2) = -y, (3) = 0}), Vector(3, {(1) = 0, (2) = x*y+(1/2...

graph a red bezier curve start at the point P1(0, 0, 1) in the direction of <-2, 0, 1> and ends at P3=(0, 2, 0) from the direction of <0, 1, 0>. Use "axes=normal" and rotate the image for a good view of the curve. Also, write the coordinates of the other two control points that you used.

I am currently studing mass transfer (chemical engineering major), there is an equation that we need to plot to solve the problem. The equation is attached below.

When I use maple to plot this equation, it always come up "Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct". Does anyone know how to plot this equation? Thank you very much for your help.

http://math.stackexchange.com/questions/376240/how-to-calculate-grobner-basis-for-syzi-f1-f2-g1-g2

http://math.stackexchange.com/questions/376980/why-syz-algorithm-for-module-have-dimension-problem-how-to-divide-vector-and-mu

Dear guys,

I have a question regarding calculation of a Gradient.

I am the lucky owner of the following equation:

Hi,

I have a second order differential equation

d2y/dt2 = -6.478831125*sin(y)

to be solved numerically. I've successfully been able to solve it using the 4th order Runge-Kutta method, however it is not properly written as a procedure and I'm unsure of how to do this.

So far I have:

R:= -6.478831125
z[0]:= 0:
y[0]:= Pi/2:
h:= 0.01:
t:= 10:
for i from 0 to t-1 by 1 do
c0:= evalf(h*R*sin(y[i])):
k0:= evalf(h*(z[i])):

For the equation x'(t)=F(z), z=(x,y), with the vector field

F(x,y)= [- x(x^4 + y^4) - y,  x  - y(x^4+y^4)]

prove that the origin is an attractor in the future, i.e., every solution verifies:

limit as t goes to +infinity of z(t) = 0

I need to format my answer as a regular mathematical proof.

Any ideas?

Hello guys ,

i have a complicated function , i found its roots but when i evaluate function by its roots , the result is not zero !!!

thank you for your helpWork.mw

An attendant at the zoo has a bag of peanuts to feed the monkeys. If the nuts are shared equally among the

7  monkeys in the first room, or among the 11 monkeys in the second room, there will be 3 nuts left over. If the nuts are shared equally among the 13 monkeys in the third room, there will be 10 nuts left over. but if the nuts are shared equally among all the monkeys in all the three rooms, there will be none left over. how many peanuts does the the attendant have?

It's interesting that every continuous piecewise linear function can be specified by one explicit equation with absolute values​​. The procedure JoggedLine carries out such conversion.

Formal arguments of the procedure: 

A - a list of the coordinates of the vertices of the polyline or the continuous piecewise linear expression defined on the entire real axis.

B (optional) - a point on the left "tail"...

Hi,

I'm trying to make a phase plane plot for the Lorenz system of differential equations around the equilibrium point (0,0,0) but when it keeps coming up with an error, saying it's "unable to obtain field plot, additional unknown(s) found: xy"

Any idea where I'm going wrong? Any help would be greatly appreciated!

Katie

sys1 := [diff(y(x), x) = a/(1-y(x))^b+c*exp(-d*x)/(1-y(x))^2]:

dsolve(sys1)

but the result is empty.

What can I do?

Hi all,

Is there any way to fill in colour to a polar plot using Maple 16? What I want to do is essentially make a coloured in pie slice using a defined radius and theta range.

I am aware of the function filled, which adds colour starting from the x-axis but that is not appropriate in this situation. I know of the filledregions function but that only works for implicit and contourplot, and as of yet I have not been able to use implicit...