## Solve ODE with BVP and parameters...

1. nonlinear ODE with parameter "epsilon"

(x^n +epsilon*y(x))dy/dx + n*x^(n-1) * y(x) =m*x^(m-1) ; y(1)=b>1

where n=2,3,4,.. and m=0,1,2,3,...

2. Duffing equation with parameter "epsilon"

d^2 y(x)/dx^2 + y(x) + epsilon*y(x)^3=0 ; y(0)=A ; y'(0)=0

## Solving nonlinear ODE with BVP dan parameter...

Hi, im new with maple

so I am still a bit confused with how to use it..

i have an nonlinear ODE with parameter "b"

(x+b*y(x))dy/dx + y(x) =0 ; y(1)=1

if i want b=0.1 and x=0, 0.1, 0.2, ..,1

how do i

## A List of Lists......

Useing the following procedure I'd like to collect a set of  roots in a list of lists, so they can be manipulated and presented in various plot options. Some of which could be very interesting (to me only perhaps).

One option is to create a loop which produces values of newton roots x0 for a given function. For example:              f:=x->(x^7)-5

for x from -1 to 1 by 0.05 do

## How would I plot with a domain [a,b)?...

To highlight the problem I am haveing let us observe the following example. If we solve the following numerically,

d2/dx2 (s(x)) +s(x) -1=0,

ic: s(0)=1/2,s'(0)=0

How would I go about createing a plot of (s(x),x) for  x a member of [0,2*Pi) (useing polar coordinates clearly)?

The probelm I am haveing is plotting for x a member of [0,2*Pi). I know how to do this for x a member of [0,2*Pi] and (0,2*PI), but not  [0,2*Pi).

## need help to obtian the theta(eta) and diff(theta(...

Hi i have difficulty to obtain the function of theta(eta) and diff(theta,eta) form the matrix. Every time i have to take the values from the matrix inorder to make the function of theta(eta) and diff(theta(eta),eta) which is very difficult.

Can you please make a code in MAPLE so that i may get the direct fuction of theta(eta) and diff(theta(eta),eta)from the matrix gernerated by MAPLE.

i WILL WAIT FOR YOUR QUICK RESPONSE.

## Need help to execute the Maple worksheet...

Hi

I am a PhD scholar at the University of Queensland. I am reviweing a paper titled as "A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition"(the pdf is available online). In this paper the author has written a MAPLE code. I copied the same code in MAPLE but could nt succedded. The author used the Runge Kutta RK5 Method to solve the model.

## How to suppress quotes in string...

I try to write sqrt(4) so that it will not be calculated to 2. I typed uneval(sqrt(4)) and received sqrt('4'). I do not want quotes surrounded number 4. How can I suppress it? Is there another way to write sqrt(4) without calculation to 2?

## symbolic manipulation mod 2...

I want to be able to create expressions in the two noncommutative variables a and b such that an expression

(b+a)*a +ba symplifies to a*a. Thus the first expression expands to ba+aa, which when added to ba

yields ba+aa+ba=aa.

How to arrange for this will be greatly appreciated.

## How do I solve a differential equation in Maple by...

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

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

## Changes in solve between Maple 9.5 and 11?...

I'm working on a project that involves solving a large system of polynomial equations using 'solve', with some inequalities of the form "a<>b" or "a<>0". Initially, I was using Maple 9.5 with great success; the machine I was using was upgraded to Maple 11, and now 'solve' struggles with problems that were previously easy (<30 seconds).

Were there any major changes in 'solve' between these two versions? (No, according to the documentation; Yes, according to the source....

## How to do the Lipschitz–Hankel integral by using ...

I meet a problem in the  Lipschitz–Hankel integral as follows,

Int(x^-2*BesselJ(1,x)*BesselJ(1,0.6*X)*e^(-10*x/7),x=0..infinity)

The output is always the same as shown above rather than a float value. How can I deal with such a integral?

Many Thanks!

## How do I get evalf to evaluate when two values are...

Hello,

I solved an equation, and Maple returns two values.  Even though I said, assuming v1i>0, the solve command returnse this:

## How to avoid this error while Differentiation?...

try_IG.mw

The following codes is a part of my program for computing ING at several points of r between -1 and 1 (by a step of for example 0.1 or even smaller for a better pointplot of ING(r) ):

H:=(r, teta) -> h(r, zn, teta) # h is a complicated function of (r, z, teta) (referred to the attached maple file) and   zn is a given number

F:= r -> int(H(r, teta), teta= 0…alpha)

## Grouping the values...

A simple question. I have this:

k*(2x+y-3z+2)+s*(5x+5y-4z+3)=0

And I want to group it by x, y, z, so that I would get:

x*(2k+5s)+y(k+5s)...=0

I'm using Maple 11.