Maple 18 Questions and Posts

These are Posts and Questions associated with the product, Maple 18

Good Morning Sir. How to get the series of g(x).I couldn't get  it.

Please help to plot this equation


I am a beginner using Maple 18. In the procedure I am analyzing, the result is 0.*I. This result means that the procedure cannot be completed until the end, displaying the graph. I am attaching Maple worksheet. Please help me solve this problem.

My equation is

at  x=0

I got g'(0) in my previous equation,



And all the parameters are mensioned in the worksheet.Then how to plot eta.Help me.

Thank you

I tried to solve differential equations with boundary conditions, but I boundary conditions are tends to infinity. How to sol;ve this?

How to clear this error and frame the series

Hi every one

I need a command or simple procedure to convert an ODE into a linear polynomial.

For example, let us consider the ode in the attached file. I want to return the poly in this file.

Could you please help me?

How to find the series.I'm getting this error.Please help to solve this.

How to plot this equation



A := Matrix([[1, -1, 1, -1], [1, 1, -1, -1], [-1, 1, 1, -1], [1, 1, 1, 1]]);
B := Matrix([[1], [0], [1], [0]])

i want to find fitted parameter value for G1,G2,G3,tau1,tau2,tau3 and plot stress-strain curve that fit to true_stress_strain curve(experimental data)
and i tried many times and still get error..can anyone please help is my maple file... 

Could you please help me to solve this error.

my code is here.

Please Help.

I have solve this problem in Runge-Kutta Method but i'm getting error.Can you solve this in RK Method or How to give a code for Shooting Method.

Here is my code.

X is a real random matrix of dimension n; its entries are i.i.d. variables.

They follow the standard normal law N(0,1).

I want to write a big sample. For that, I use the following two lines:

roll := RandomVariable(Normal(0, 1))

X := Matrix(n, proc (i, j) options operator, arrow; (Sample(roll))(1)[1] end proc)

Is there a method that does the calculations faster ??

Thanks in advance.

eq1 := diff(f(x), x, x, x)+(1/2)*x*cos(alpha)*(diff(f(x), x, x))+(1/2)*sin(alpha)*f(x)*(diff(f(x), x, x))+G[r]*theta(x)+G[m]*phi(x) = 0;

eq2 := diff(theta(x), x, x)+(1/2)*Pr*cos(alpha)*x*(diff(theta(x), x))+sin(alpha)*f(x)*(diff(theta(x), x))+N[b]*(diff(theta(x), x))*(diff(phi(x), x))+N[t]*(diff(theta(x), x))^2 = 0;

eq3 := diff(phi(x), x, x)+(1/2)*Le*cos(alpha)*x*(diff(phi(x), x))+sin(alpha)*f(x)*(diff(phi(x), x))+N[t]*(diff(theta(x), x, x))/N[b] = 0;

ics := f(0) = 0, (D(f))(0) = gamma*((D@@2)(f))(0), theta(0) = 1+tau*(D(theta))(0), phi(0) = 1;

bcs := (D(f))(infty) = 0, theta(infty) = 0, phi(infty) = 0;

Parameters := G[r] = 5, G[m] = 3, Pr = 7, N[b] = .1, N[t] = .1, Le = 1, gamma = .2, tau = .1, alpha = 30*degree;

I have a equation

((D@@2)(theta))(eta) = -(1/2)*(D(theta))(eta)*(-2*(D(phi))(eta)*beta*epsilon*lambda*D[B]+2*(D(phi))(eta)*beta*epsilon*mu*D[B]+f(eta)*sin(alpha)*beta*nu+2*(D(theta))(eta)*gamma*epsilon*D[t]-2*(D(theta))(eta)*beta*epsilon*D[t]+cos(alpha)*beta*eta*nu)/(beta*sigma)

and a parameters expression

Pr:=nu/sigma; N[b] := epsilon*D[B](mu-lambda)/sigma; N[t] := epsilon*D[t](gamma-beta)/(gamma*sigma); Le := nu/D[B]

How can I seperate common terms and substitute this parameters and got this following expression

((D@@2)(theta))(eta) = -(1/2)*Pr*(D(theta))(eta)*eta*cos(alpha)-(1/2)*Pr*(D(theta))(eta)*sin(alpha)*f(eta)-N[b]*(D(theta))(eta)*(D(phi))(eta)-N[t]*(D(theta))(eta)

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