I want to solve numerically the nonlinear problem 

a*(diff(y(x), x, x))+2*(diff(y(x), x))+exp(y(x)) = 0, y(0) = 0, y(1) = 0

by defining my own method defined as 

y_n+1=y_n+2*h*(-2*y_n+2*ln(2/(1+x))-(1/2)*a)^2/(a*(-4*y_n+4*ln(2/(1+x))-a-h*(4*y_n-4*ln(2/(1+x))+a+x+1)/a))

where h is the step-size. Please help me by letting me know how can I do this using Maple 11.

Hi,

I was wondering if anyone has suggestions how to get answer to this integral?

I know how to do a discrete approximation, but I am looking for the closed form.

c>0. n is an integer>0. If someone knows how to do specific values of n, that would be interesting too!

Also, replacing the Chebyshev function by a monomial in x (i.e. x^n) would be equivalent.

Thanks.

I have an older tablet PC on which I recently used Windows Journal for handwriting and storing my lecture notes (on the swivel screen with a stylus). However, Windows Journal is very basic (doesn't interact with Maple or anything else other than pasting images into it) and has very limited drawing capabilities (rectangles, ellipses, and only horizontal lines).

What tablet PC apps do you recommend for handwriting, drawing, etc. that interact well with Maple

Hey there,

i have a differential equation in the form below and the expression c1*x(t) should only be positive. Has someone an idea how to solve this problem?

I want to write the equation of the line which passing the two point A(1, 1) and B(m+1, -2*m + 2) by using LinearAlgebra, but i can not write. Please help me. Thank you.

I've observed different behaviour in Maple 16 when invoking the plot() command with the coords=polar option.

Here's what Maple 15 produces:

...and here is what I get in Maple 16:

This is the first time I used the Maple software so I haven't known clearly about it. could you give me a document about " How to use Maple ".

Thank you.

i came into some questions when i wanted to solve a pde systerm as follows:

> pde := diff(u(x, y), y, y, y, y) = 0;
> sys := [pde, u(x, 0) = 0, u(x, a) = F0, (D[`$`(2, 2)](u))(x, 0) = 0, (D[2, 2](u))(x, a)-beta*(D[2](u))(x, a) = 0];
> pds := pdsolve(sys);
%;
Error, (in pdsolve/sys/info) found functions with same name but depending on different arguments in the given DE system: u(x, a), u(x, y). It is required an indication of the dependent variables

Hi,

I am trying to solve the following equation:

S:=(A+jB)*conjugate(C+jD)

where

A, B, C and D are all sum of sins and cosines.

Should I use COMBINE first and then solve, I am not getting what I want. hope there is a way to evaluate this function.

Looking forward to your kind replies

Thanks in advance

A.Q

Soton

Hi evryone.

Does anyone have experience on what is the best format to export an entire worksheet (code and graphics) out of Maple. I tried all different formats but none comes even close to being publication quality.

thanks a lot

Hi everybody,

I have a matrix A=[a[ij]]    MXM,

two vectors    X=[x[i]]    Mx1       and    Y=[y[i]]      Mx1  

I want to plot the following

1) 

                             a[11] with x[1] and y[1]

                             a[21...

Calcution-A

with(VectorCalculus):
with(LinearAlgebra):
f := [x3*(1+x2),x1,x2*(1+x1)]:
g := [0,1+x2,-x3]:
fv := <x3*(1+x2),x1,x2*(1+x1)>:
gv := <0,1+x2,-x3>:
ad_f_g :=  MatrixAdd(MatrixVectorMultiply(Jacobian(g,[x1,x2,x3]),fv),-MatrixVectorMultiply(Jacobian(f,[x1,x2,x3]),gv)):
b := <Diff(w(x1,x2,x3),x1),Diff(w(x1,x2,x3),x2),Diff(w(x1,x2,x3),x3)>:
gv := <0,1+x2,-x3>:
c1 := DotProduct(b, gv):
c2 := DotProduct(b, ad_f_g):

Is there anyway to disable the superscript so it works exactly like in Classic Maple, so the whole equation stays inline? Having it go to where it should be makes marginally easier for me to read it, but having to press the right arrow to leave the superscript is extremely annoying and time consuming.

Edit: example: I want it to stay as 10^5 instead of 10⁵, at least while I'm writing.

Hello,

I'm new to Maple and am using it to solve linear and non-linear differential equations.

I can solve and plot linear DEs using a couple of methods. Im trying to solve a non-linear DE and i could find the series solution using dsolve. But given certain initial conditions, is there any way to plot or see the nature of the behaviour of the DE? I just want to see how the DE will look like maybe for certain points up to a certain level of accuracy. Is there any way to do that?

I need this quite often, but never found a nice way of getting the index of minimal or maximal value of a Vector (or a list or whatever). Is there an easier way than the following?

N := 15:
L := LinearAlgebra[RandomVector](N):
m := min(L):
for i to N do if L[i] = m then print(i); break end if end do;