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Hi there, I'm trying to express the following expression

sin(c + I * (sin (d + k * sin(t)))


in terms of Bessel functions. I've been knocking my head against it trying to do it by hand for a while now and someone suggested maple could help.

Very likely there is a very simple solution to this question, but I searched Maple's help pages and this forum and didn't find a solution.  Probably because I don't use the correct English terms.

given two functions

(1) X := x->f1(t);

(2) Y := y->f2((t);

witth t = -infinity...infinity; f1 and f2 arbitrary functions of a parameter t

How I can get the function

Y := x->f3(x);


I read this forum  in which it says you have to extract units beforehand to plot.

The problem is that I have a lot of functions and I can't remove units by hand, so I wanted to use the command convert(........,unit_free) but  with no result

The function in the convert command is a piecewise. I upload the file


I want to graph a real-valued function e.g. plot y=x^2 from x=1 to 2.  There used to be a function called "plot2D". But it does not exist any more. When I call up the glossary or Help list, I get hundreds of plot-related functions - countourplot, loglogplot, etc - but not a plot for doing a real-valued function.  It is not under with(plots): 



I want to solve the following PDE with boundary conditions, but unfortunately I do not know the meaning of _F1 and _F2 in this stuation. Would you please help me to find these arbitrary functions?

> PDE := diff(U(y, z), y, y)+diff(U(y, z), z, z) = 0;

> with(PDEtools);

PDE _F1 _F2...

February 08 2010 Mehtab 16



I want to solve the following PDE with boundary conditions, but unfortunately I do not know the meaning of _F1 and _F2 in this stuation. Would you please help me to find these arbitrary functions?

I replied to the following thread but after further thought I probably start a new thread:

Hi, I want to build recursively defined, piecewise functions.

I first defined my zero-order functions

N40(xi)=piecewise(0<xi and xi<=1);

N50(xi)=piecewise(1<xi and xi<=2);

and I can plot them with desired result

but, how do I combine them, to make first order functions?

 for instance, I want to have a function matematichally defined by:

N41 = (xi-1)*N40 + (2-xi)*N51


Chain Rule ...

February 02 2010 rpcroke 104

How do I get Maple to recognize the Chain rule symbolically?

I have an ODE that looks like this:

u = a[0] + a[1]*w(q) + a[2]*w'(q) + a[3]*w(q)^2

where u,a[i],q are all functions of (x,y,t), so W is really W(q(x,y,t)).  W' is d/dq(W).  I am having trouble figuring out how to get Maple to recognize W' and still being able to take derivatives with respect to x,y, or t.

I want to get the following:

diff(W',x) = W''*q_x or in words: two derivatives of W with respect to q times q_x.

How can I do this?


I have problem with following question:

"You are given two functions: h(x) = (x+2)^2 - 15x - 30 and L(x) = qx, where q is any real number. Find the value(s) of the parameter q such that the area of the region enclosed by these two functions is equal to 1000."

Here is what I have done so far:

1) declare (and display) both functions:

h := proc (x) options operator, arrow; (x+2)^2-15*x-30 end proc; L := proc (x) options operator, arrow; q*x end proc; plot([h(x), subs(q = 5, L(x)), subs(q = -25, L(x))], x = -20 .. 20, y = -200 .. 500)


I have


-Copy full precision

-Copy as MathML

-Why am I able to use whatever strange copy method I have the feeling is useless to me but no simple, plain Copy? Why? Why were you able to implement strange copy functions but not one like the simple one of Windows Notepad.exe's and whatsoever? Or what am I doing wrong?

I've got a system of ODEs I need to solve for dependant variables phi(t) and a(t) with independant variable t.(appologies, it's a bit messy; the maple tag isn't making things render nicely)

dsys := {(D(D(phi)))(t)+3*a(t)*(D(phi))(t)/(D(a))(t)+dOm(phi(t), a(t)) = 0, a(1000) = sqrt(2*sqrt((8*Pi^3*(1/45))*To)*1000), phi(1000) = 12*M^(alpha+4)*alpha*g^2*sqrt(8*Pi^3*(1/45))*To^((1/2)*alpha-1)*10^(1/(alpha+2)), (D(a))(t) = sqrt(RhoDE(phi(t), a(t))+RhoM(a(t))+RhoR(a(t)))*a(t...

How to find functions


F(x) = f(x) / g(x)

G(x) = f(x) * g(x)


so that the third derivative of F(x) and G(x) = 0.


For m=1,2, how do I show with Maple that the first two moments of the Borel-Tanner distribution are simple functions of k and lamda, e.g., k/(1-lambda) for the mean? How do I get the closed-form expressions with maple? Code:

simplify(sum(x^m*k*x^(x-k-1)*lambda^(x-k)*exp(-lambda*x)/factorial(x-k), x = k .. infinity)) assuming lambda > 0, lambda < 1, k::posint; evalf(subs(k = 1, lambda = .8, %))

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