I am trying to solve the following bvp:

with*plots

Eq[1] := diff(f(eta), `$`(eta, 3))+3*f(eta)*(diff(f(eta), `$`(eta, 2)))-2*(diff(f(eta), eta))^2+theta(eta)

Eq[2] := diff(theta(eta), `$`(eta, 2))+3*Pr*f(eta)*(diff(theta(eta), eta))

Eq[3] := diff(phi(eta), `$`(eta, 2))+3*Sc*f(eta)*(diff(phi(eta), eta))-kappa*Sc*(phi(eta)*(diff(theta(eta), `$`(eta, 2)))+(diff(theta(eta), eta))*(diff(phi(eta), eta)))

BCs := [f(0), (D(f))(0), ((D@@2)(f)...

I wrote the following MAPLE code

restart; N := 2

alias(epsilon = e, eta = t)

eq1 := 5*(diff(F(t), `$`(t, 3)))+(1+3*e)*F(t)*(diff(F(t), `$`(t, 2)))-(2+e)*(diff(F(t), t))^2 = 0

F := proc (t) options operator, arrow; sum('F[i](t)*e^i', 'i' = 0 .. N) end proc

deqn := simplify(collect(eq1, e), {e^(N+1) = 0})

MAPLE says

Error, (in sum) too many levels of recursion

How do I get this error corrected?

I asked a question few hours ago. I corrected the error in the process I was suggested. How in writing the program to collect the coefficients of m^0, m^1 and m^2, I am again stuck in an error and could not find any help.

restart; N := 2

Eq[1] := diff(f(eta), `$`(eta, 3))+(m+4)*f(eta)*(diff(f(eta), `$`(eta, 2)))-(2*(m+1))*(diff(f(eta), eta))^2-(2*(m+1))*h(eta)-(.5*(m-2))*eta*(diff(h(eta), eta))

Eq[2] := g(eta)-(diff(h(eta), eta))

Eq[3] := (diff(g(eta...

I have a system of three non-linear coupled ODEs. I am trying to obtain the zeroth order, first order and second order equations and their boundary conditions using the perturbation technique. I then need to solve them. I wrote the following MAPLE lines for the purpose.

restart; N := 2

Eq[1] := diff(f(eta), `$`(eta, 3))+(m+4)*f(eta)*(diff(f(eta), `$`(eta, 2)))-(2*(m+1))*(diff(f(eta), eta))^2-(2*(m+1))*h(eta)-(.5*(m-2))*eta*(diff(h(eta), eta))

Eq[2] := g(eta)-(diff(h(eta), eta))

Hello everyone. I am new to Maple. I am trying to simplify an expression in Maple. The expression is like:

u := a+b*x+a/x+b*x^7+c

If I use simplify(u) Maple returns the result as:

 (a*x+b*x^2+a+b*x^8+c*x)/x

If I want the result in the form:

u = a*(x+1)/x+b*x*(1+x^6)+c

or

u = a*(1+1/x)+b*x*(1+x^6)+c

How should I proceed? Is it possible to do this?