6 years, 59 days

## How to get convergent solution of the sh...

Maple 2020

Hi,

Need your help to find the convergent solution of the attached problem.

Here is some information about parameters

(0 <= gamma <= 10,      0 <= rho & nu <= 200)

 > restart:
 > with(plots):
 > N:=6:
 >
 > eq1 :=3*diff(f(eta),eta,eta,eta)+2*f(eta)*diff(f(eta),eta,eta)-(diff(f(eta),eta))^2;
 (1)
 >
 > eq2 := 3*nu*diff(g(eta),eta,eta,eta)+2*g(eta)*diff(g(eta),eta,eta)-(diff(g(eta),eta))^2;
 (2)
 >
 > bc:=f(0) = 0, g(0) = 0, D(f)(0) = D(g)(0), D(D(f))(0) = -rho*nu*D(D(g))(0), D(D(f))(6) = 1, D(D(g))(N) = gamma;
 (3)
 >
 > para:={nu=3, gamma=10};
 (4)
 >
 > A1 := dsolve(subs(para,rho=2, {bc, eq1, eq2}), numeric,method = bvp[midrich],maxmesh=12500, output=array([seq( 0.01*i, i=0..100*N)])):
 >
 > pf1 := odeplot(A1, [[eta,diff(f(eta),eta), linestyle = 1, color = blue]], 0 .. N):
 >
 > pf2 := odeplot(A1, [[eta,diff(g(eta),eta), linestyle = 3, color = red]], 0 .. N):
 > display({pf1,pf2}, axes = boxed,thickness=3,labels = [eta, "f' '"],labelfont = ["ROMAN", 22,Bold,Italic],axesfont = ["ROMAN", "ROMAN", 14,Bold],axis=[thickness=3]);

## Find the integration of nonlinear integr...

Maple 2017

Hi

I need yours help to solve the given integral

 >
 >
 >
 >
 >
 >

q,c,a and r are parameters.
Γ is a gamma function.

## 7-th order polynomial...

Maple

Hello Maple users,
Help me to find all positive real solutions of the polynomial containing a small parameter "c" as:

(solution must be in term of c).

## How to add random values in Maple?...

I have been using random numbers in Maple and want to generate a sum of that random number. I have consider the following

with(stats):

x = random[uniform](10);

and now want

sum(x_i)^a

where (x_i) is the ith values in x (random array) and "a" is any real number.

## how to handle the error "initial Newton ...

Dear Maple users,

need your help to resolve the error in attach file.
thanks

code_for_eigen_value.mw

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