How do i solve this PDE with initial and boundary condition

1. δθ/δζ = δ^2θ/δy^2

At y=0, δθ/δy=0

At y=1, δθ/δy=-µ

At ζ=0, θ=1

I would like to solve the following equation that I call equ?

> equ: = tanh(s)=C3*s

To do this I use the code “solve” to solve it. C3 is constant.

> sol: =solve (equ,s)

RootOf(_Z*C3*(exp(_Z))^2+_Z*C3-(exp(_Z))^2+1)

I then get the RootOf expression. How to get its mathematical expressions? I am really interested in getting it.

Please help me in anyway you can as I am completely stuck

Dear Maple users

The Statistics package contain a Histogram command which can produce a linegraph (or what you call it). Ex:

with(Statistics):

A:=[3,5,7,2,11,2,1,10,6,15]:

Histogram(A,discrete)

It will calculate the frequency of each of the outcomes as they appear in the list and will plot them accordingly: 

How to prove that 

sum(binomial(n, r)*binomial(k+r, n), r = 0 .. n) = sum(binomial(n, r)*binomial(k, r)*2^r, r = 0 .. n)?

Maple calculates the LHS and RHS, but I cannot compare these with Maple for each n::posint and each k::posint s. t. k>= n. The question was asked in Mathematics SE. I don't understand whether it is answered there.

I am trying to see if Maple can help me find a closed form for an infinite series. I do this:

restart:

s:=Sum(n^2/((Pi^2*n^2+beta^2*epsilon^2)*(exp(n))^4), n = 1 .. infinity);

value(s);

Maple returns with:

Find a(n) of sequence 1 , 2 , 2 , 3 , 6 , 5 , 30 , 11 ,...

Dear sir, 

 i want to plot labelled contour plot in maple 13, 

here is the code

labelledcontourplot(x^3-y^2,x=-3..3,y=-3..2,axes=boxed);

thanks 

Hello everyone,

restart:with(PDEtools):with(plots):

sys := {diff(T(x, t), t) = diff(T(x, t), x, x)+(diff(u(x, t), x))^2, diff(u(x, t), t) = diff(u(x, t), x, x)};

PDE:={diff(u(x,t),t)=diff(u(x,t),x$2),diff(T(x, t), t) = diff(T2(x,t), x)+(diff(u(x, t), x))^2,diff(T(x, t), x)=T2(x,t)};

BCs := {u(0,t)=sin(t), u(10,t)=0,T(0,t)=1, T(10,t)=0,u(x,0)=0,T(x,0)=0};

pds2 := pdsolve(PDE, BCs, numeric, spacestep=1/50);

I just want to plot T2(x,t) vs t for x=0.

help me please for create this graph..

I've tried it, but that appears is a box shape

Sorry to bother you again. I want my computations(results) to carry/have more decimal places so that I can choose how many decimal places to show myself. This is because, my result is always displayed in 9 d.p but I want more decimal places to be displayed. Just like the way we change the way maple display matrix in-line with command interface(rtablesize= N), is there a similar way i can do the decimal place thing?

Secondly, how can i suppress the value A amd B from...

Help please...

How can I solve for

I'm making a student quiz and would like to use Maple to enter long division problems. Is there an expression template in the palettes for entering long division?

Thank you.

Jerry

I have a 3D data-points of the form x,y,z. What is the easiest way to get the interpolated value z=

I would like to use Maple to expand the polynomial (1+x[1]+y[1])*(1-x[1])*(1-y[1])*(1+x[2]+y[2])*(1-x[2])*(1-y[2])*(1+x[3]+y[3])*(1-x[3])*(1-y[3])*(1+x[4]+y[4])*(1-x[4])*(1-y[4]). This is dreadfully complicated, but things are simplified by the fact that (in my situation) each x[i] and y[i] disappears when squared (x[i]^2 = y[i]^2 = 0 for all i). Is there a way to make Maple factor this into the computation?

Cheers,

a