MaplePrimes Questions

Hi,

I'm experimenting with building random series on different topics, inspired by several of your comments, using a table-style layout. For this example, I'm testing systems of linear equations with two unknowns, but I can't manage to generate the systems with curly braces. I hope the purpose of my question is clear. Any ideas? Thanks

Systmes_Idea.mw

This question is about a particularity of a widely used function, which looks like a bug at the first glance, but is not (after carefully studying the help page).

The function “add” (a built-in function with special evaluation rules) is intended to be used on sequences. If for any reason (in a procedure for example) a sequence degenerates to a single scalar expression and add is applied to it, the expression can change. This is most likely undesired. In the case below (simplified from a real case that happened to me) a product is transformed into a nonsense sum.

data := 1.*Unit(m);
accu_length := add(data);
data := data, 2.*Unit(m);
accu_length := add(data);
                       data := 1. Unit(m)

                  accu_length := 1. + Unit(m)

                 data := 1. Unit(m), 2. Unit(m)

                   accu_length := 3. Unit(m)

It is quite likely that the above unit error will be noticed. In the following case it is more likely that a change in value remains unnoticed.

data := 2/5;
add(data);
                                   2
                           data := -
                                   5

                               7

I was wondering whether Maple could issue a warning to prevent this use error of add, when certain types of expressions are passed to add.
Alternatively Maple could return the expression unchanged. So far, I have not found a case where it makes sense to apply add to operands of a scalar expression (excluding set, list, array, ... ).

This leads to the question of whether this functionality (add working on a scalar expression) is needed at all. I tried a few and none of them is useful

[a = b, a^b, a@b, a/b, sin(a), int(f(x), x), a[b]];
map(add, %);
        [        b       a                            ]
        [a = b, a , a@b, -, sin(a), int(f(x), x), a[b]]
        [                b                            ]

          [                         1                ]
          [a + b, a + b, a + b, a + -, a, f(x) + x, b]
          [                         b                ]

Anything else which could make sense?

i dont know in this paper he do factoring or he solved by substitution i did both way but i can't do end step which is finding parameter can anyone help ? i did 2 way but i can't finished 

find-parameter.mw

find-parameter_2.mw

In the File menu,  the Export As dialog is missing. Only the default (.pdf) can be used; no .mpl or .tex)
The Save As dialog is incomplete (e.g. save to .mws).

Or, is the installation corrupted?

In the transformation w = e^z, vertical lines in the complex z-plane of the form Re(z)=a are mapped to circles of radius e^a in the w-plane.

Can I create a Maple visualization that does the following:

  1. Displays the result side by side, showing each vertical line in the z-plane and its corresponding mapped circle in the w-plane.

  2. Does it use a different color and style for each line and its image (e.g., dashed, dotted, solid, or different colors)?

restart; interface(imaginaryunit = 'i')

z := 2+2*I

2+2*I

(1)

with(plots); point1 := pointplot([[Re(z), Im(z)]], symbol = solidcircle, color = blue, axes = normal, labels = ["Re(z)", "Im(z)"], title = "Complex Number Plot")

 

mod_z := abs(z)

2*2^(1/2)

(2)

vector1 := arrow([0, 0], [Re(z), Im(z)], color = red, shape = double_arrow, width = 0.5e-1, border = false, head_width = .1, head_length = .1); vector2 := arrow([0, 0], [0, Im(z)], color = green, shape = double_arrow, width = 0.5e-1, border = false, head_width = .1, head_length = .1); vector3 := arrow([0, 0], [Re(z), 0], color = yellow, shape = double_arrow, width = 0.5e-1, border = false, head_width = .1, head_length = .1)

display([vector1, point1, vector2, vector3], axes = normal, labels = ["Re(z)", "Im(z)"], view = [0 .. 3, -1 .. 4], scaling = constrained, title = "Modulus of complex number")

 

w := 2+3*I

2+3*I

(3)

z+w

4+5*I

(4)

z-w

-I

(5)

z.w

-2+10*I

(6)

z/w

10/13-(2/13)*I

(7)

restart

with(plots); a := 2; complexplot(a+I*t, t = -Pi .. Pi, title = "Vertical Line Re(z)=2")

 

A := [-3, -1, 0, 1, 2]; P := [seq(complexplot(x+I*y, y = -10 .. 10, color = red), `in`(x, A))]; display(P, title = "Multiple Vertical Lines in Complex Plane")

 

with(plots); B := [-3, -1, 0, 1, 2]; H := [seq(complexplot(x+I*y, x = -10 .. 10, color = blue), `in`(y, B))]; display(H, title = "Multiple Horizontal Lines in Complex Plane")

 
 

NULL

Download operations.mw

This is first type of solving parameter but  i solved some semilar but the shape of them are so different and solving them different too i did my trail but i can't reach out solution also the author solve by another way which i did too but i have to solve in this way too thanks  for any help !

restart

with(PDEtools)

with(LinearAlgebra)

NULL

with(SolveTools)

_local(gamma)

Warning, A new binding for the name `gamma` has been created. The global instance of this name is still accessible using the :- prefix, :-`gamma`.  See ?protect for details.

 

``

`There is no more prime differentiation variable; all derivatives will be displayed as indexed functions`

(1)

declare(u(x, y, z, t))

u(x, y, z, t)*`will now be displayed as`*u

(2)

declare(f(x, y, z, t))

f(x, y, z, t)*`will now be displayed as`*f

(3)

pde := 9*(diff(u(x, y, z, t), t, x))+diff(u(x, y, z, t), `$`(x, 6))-5*(diff(u(x, y, z, t), `$`(x, 3), y)+diff(u(x, y, z, t), `$`(y, 2)))+15*((diff(u(x, y, z, t), `$`(x, 2)))*(diff(u(x, y, z, t), `$`(x, 3)))+(diff(u(x, y, z, t), x))*(diff(u(x, y, z, t), `$`(x, 4)))-(diff(u(x, y, z, t), x))*(diff(u(x, y, z, t), x, y))-(diff(u(x, y, z, t), `$`(x, 2)))*(diff(u(x, y, z, t), y)))+45*(diff(u(x, y, z, t), x))^2*(diff(u(x, y, z, t), `$`(x, 2)))+alpha*(diff(u(x, y, z, t), `$`(x, 2)))+beta*(diff(u(x, y, z, t), x, y))+delta*(diff(u(x, y, z, t), x, z))

9*(diff(diff(u(x, y, z, t), t), x))+diff(diff(diff(diff(diff(diff(u(x, y, z, t), x), x), x), x), x), x)-5*(diff(diff(diff(diff(u(x, y, z, t), x), x), x), y))-5*(diff(diff(u(x, y, z, t), y), y))+15*(diff(diff(u(x, y, z, t), x), x))*(diff(diff(diff(u(x, y, z, t), x), x), x))+15*(diff(u(x, y, z, t), x))*(diff(diff(diff(diff(u(x, y, z, t), x), x), x), x))-15*(diff(u(x, y, z, t), x))*(diff(diff(u(x, y, z, t), x), y))-15*(diff(diff(u(x, y, z, t), x), x))*(diff(u(x, y, z, t), y))+45*(diff(u(x, y, z, t), x))^2*(diff(diff(u(x, y, z, t), x), x))+alpha*(diff(diff(u(x, y, z, t), x), x))+beta*(diff(diff(u(x, y, z, t), x), y))+delta*(diff(diff(u(x, y, z, t), x), z))

(4)

``

oppde := [op(expand(pde))]; u_occurrences := map(proc (i) options operator, arrow; numelems(select(has, [op([op(i)])], u)) end proc, oppde); linear_op_indices := ListTools:-SearchAll(1, u_occurrences); pde_linear := add(oppde[[linear_op_indices]]); pde_nonlinear := expand(simplify(expand(pde)-pde_linear))

9*(diff(diff(u(x, y, z, t), t), x))+diff(diff(diff(diff(diff(diff(u(x, y, z, t), x), x), x), x), x), x)-5*(diff(diff(diff(diff(u(x, y, z, t), x), x), x), y))-5*(diff(diff(u(x, y, z, t), y), y))+alpha*(diff(diff(u(x, y, z, t), x), x))+beta*(diff(diff(u(x, y, z, t), x), y))+delta*(diff(diff(u(x, y, z, t), x), z))

 

15*(diff(diff(u(x, y, z, t), x), x))*(diff(diff(diff(u(x, y, z, t), x), x), x))+15*(diff(u(x, y, z, t), x))*(diff(diff(diff(diff(u(x, y, z, t), x), x), x), x))-15*(diff(u(x, y, z, t), x))*(diff(diff(u(x, y, z, t), x), y))-15*(diff(diff(u(x, y, z, t), x), x))*(diff(u(x, y, z, t), y))+45*(diff(u(x, y, z, t), x))^2*(diff(diff(u(x, y, z, t), x), x))

(5)

H := u(x, y, z, t) = 2*(diff(ln(f(x, y, z, t)), x))

u(x, y, z, t) = 2*(diff(f(x, y, z, t), x))/f(x, y, z, t)

(6)

L := eval(pde_linear, H) = 0

2*(diff(diff(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x), x), x))/f(x, y, z, t)-10*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), y))/f(x, y, z, t)-10*(diff(diff(diff(f(x, y, z, t), x), y), y))/f(x, y, z, t)+alpha*(2*(diff(diff(diff(f(x, y, z, t), x), x), x))/f(x, y, z, t)-6*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^3)+beta*(2*(diff(diff(diff(f(x, y, z, t), x), x), y))/f(x, y, z, t)-2*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2-4*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3)+delta*(2*(diff(diff(diff(f(x, y, z, t), x), x), z))/f(x, y, z, t)-2*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), z))/f(x, y, z, t)^2-4*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), z))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), z))/f(x, y, z, t)^3)+280*(diff(diff(diff(f(x, y, z, t), x), x), x))^2*(diff(f(x, y, z, t), x))/f(x, y, z, t)^3-5040*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))^5/f(x, y, z, t)^6+5040*(diff(diff(f(x, y, z, t), x), x))^2*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^5-1260*(diff(diff(f(x, y, z, t), x), x))^3*(diff(f(x, y, z, t), x))/f(x, y, z, t)^4-80*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3+360*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^4-240*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^3-20*(diff(f(x, y, z, t), x))*(diff(f(x, y, z, t), y))^2/f(x, y, z, t)^3+84*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x))*(diff(f(x, y, z, t), x))^2/f(x, y, z, t)^3-420*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^4+420*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^3+1680*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))^4/f(x, y, z, t)^5-2520*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))^2*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^4+420*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(diff(f(x, y, z, t), x), x))^2/f(x, y, z, t)^3+36*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), t))/f(x, y, z, t)^3-36*(diff(diff(f(x, y, z, t), t), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2-18*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), t))/f(x, y, z, t)^2-14*(diff(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2-42*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x))*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^2-70*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(diff(diff(f(x, y, z, t), x), x), x))/f(x, y, z, t)^2+1440*(diff(f(x, y, z, t), x))^7/f(x, y, z, t)^7+10*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2+40*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), y))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2+40*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^2-120*(diff(diff(diff(f(x, y, z, t), x), x), y))*(diff(f(x, y, z, t), x))^2/f(x, y, z, t)^3+60*(diff(diff(f(x, y, z, t), x), x))*(diff(diff(diff(f(x, y, z, t), x), x), y))/f(x, y, z, t)^2-60*(diff(diff(f(x, y, z, t), x), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3+240*(diff(f(x, y, z, t), x))^3*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^4-240*(diff(f(x, y, z, t), x))^4*(diff(f(x, y, z, t), y))/f(x, y, z, t)^5+20*(diff(diff(f(x, y, z, t), x), y))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2+10*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), y), y))/f(x, y, z, t)^2+18*(diff(diff(diff(f(x, y, z, t), t), x), x))/f(x, y, z, t) = 0

(7)

numer(lhs(-80*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3+360*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^4-240*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^3+420*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^3-2520*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))^2*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^4+alpha*(2*(diff(diff(diff(f(x, y, z, t), x), x), x))/f(x, y, z, t)-6*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^3)+beta*(2*(diff(diff(diff(f(x, y, z, t), x), x), y))/f(x, y, z, t)-2*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2-4*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3)+delta*(2*(diff(diff(diff(f(x, y, z, t), x), x), z))/f(x, y, z, t)-2*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), z))/f(x, y, z, t)^2-4*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), z))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), z))/f(x, y, z, t)^3)+2*(diff(diff(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x), x), x))/f(x, y, z, t)-10*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), y))/f(x, y, z, t)-10*(diff(diff(diff(f(x, y, z, t), x), y), y))/f(x, y, z, t)+1440*(diff(f(x, y, z, t), x))^7/f(x, y, z, t)^7+18*(diff(diff(diff(f(x, y, z, t), t), x), x))/f(x, y, z, t)+280*(diff(diff(diff(f(x, y, z, t), x), x), x))^2*(diff(f(x, y, z, t), x))/f(x, y, z, t)^3-5040*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))^5/f(x, y, z, t)^6+5040*(diff(diff(f(x, y, z, t), x), x))^2*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^5-1260*(diff(diff(f(x, y, z, t), x), x))^3*(diff(f(x, y, z, t), x))/f(x, y, z, t)^4-20*(diff(f(x, y, z, t), x))*(diff(f(x, y, z, t), y))^2/f(x, y, z, t)^3+84*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x))*(diff(f(x, y, z, t), x))^2/f(x, y, z, t)^3-420*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^4+1680*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))^4/f(x, y, z, t)^5+420*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(diff(f(x, y, z, t), x), x))^2/f(x, y, z, t)^3+36*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), t))/f(x, y, z, t)^3-36*(diff(diff(f(x, y, z, t), t), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2-18*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), t))/f(x, y, z, t)^2-14*(diff(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2-42*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x))*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^2-70*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(diff(diff(f(x, y, z, t), x), x), x))/f(x, y, z, t)^2+10*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2+40*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), y))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2+40*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^2-120*(diff(diff(diff(f(x, y, z, t), x), x), y))*(diff(f(x, y, z, t), x))^2/f(x, y, z, t)^3+60*(diff(diff(f(x, y, z, t), x), x))*(diff(diff(diff(f(x, y, z, t), x), x), y))/f(x, y, z, t)^2-60*(diff(diff(f(x, y, z, t), x), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3+240*(diff(f(x, y, z, t), x))^3*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^4-240*(diff(f(x, y, z, t), x))^4*(diff(f(x, y, z, t), y))/f(x, y, z, t)^5+20*(diff(diff(f(x, y, z, t), x), y))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2+10*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), y), y))/f(x, y, z, t)^2 = 0))*denom(rhs(-80*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3+360*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^4-240*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^3+420*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^3-2520*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))^2*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^4+alpha*(2*(diff(diff(diff(f(x, y, z, t), x), x), x))/f(x, y, z, t)-6*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^3)+beta*(2*(diff(diff(diff(f(x, y, z, t), x), x), y))/f(x, y, z, t)-2*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2-4*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3)+delta*(2*(diff(diff(diff(f(x, y, z, t), x), x), z))/f(x, y, z, t)-2*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), z))/f(x, y, z, t)^2-4*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), z))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), z))/f(x, y, z, t)^3)+2*(diff(diff(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x), x), x))/f(x, y, z, t)-10*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), y))/f(x, y, z, t)-10*(diff(diff(diff(f(x, y, z, t), x), y), y))/f(x, y, z, t)+1440*(diff(f(x, y, z, t), x))^7/f(x, y, z, t)^7+18*(diff(diff(diff(f(x, y, z, t), t), x), x))/f(x, y, z, t)+280*(diff(diff(diff(f(x, y, z, t), x), x), x))^2*(diff(f(x, y, z, t), x))/f(x, y, z, t)^3-5040*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))^5/f(x, y, z, t)^6+5040*(diff(diff(f(x, y, z, t), x), x))^2*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^5-1260*(diff(diff(f(x, y, z, t), x), x))^3*(diff(f(x, y, z, t), x))/f(x, y, z, t)^4-20*(diff(f(x, y, z, t), x))*(diff(f(x, y, z, t), y))^2/f(x, y, z, t)^3+84*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x))*(diff(f(x, y, z, t), x))^2/f(x, y, z, t)^3-420*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^4+1680*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))^4/f(x, y, z, t)^5+420*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(diff(f(x, y, z, t), x), x))^2/f(x, y, z, t)^3+36*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), t))/f(x, y, z, t)^3-36*(diff(diff(f(x, y, z, t), t), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2-18*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), t))/f(x, y, z, t)^2-14*(diff(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2-42*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x))*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^2-70*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(diff(diff(f(x, y, z, t), x), x), x))/f(x, y, z, t)^2+10*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2+40*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), y))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2+40*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^2-120*(diff(diff(diff(f(x, y, z, t), x), x), y))*(diff(f(x, y, z, t), x))^2/f(x, y, z, t)^3+60*(diff(diff(f(x, y, z, t), x), x))*(diff(diff(diff(f(x, y, z, t), x), x), y))/f(x, y, z, t)^2-60*(diff(diff(f(x, y, z, t), x), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3+240*(diff(f(x, y, z, t), x))^3*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^4-240*(diff(f(x, y, z, t), x))^4*(diff(f(x, y, z, t), y))/f(x, y, z, t)^5+20*(diff(diff(f(x, y, z, t), x), y))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2+10*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), y), y))/f(x, y, z, t)^2 = 0)) = numer(rhs(-80*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3+360*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^4-240*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^3+420*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^3-2520*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))^2*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^4+alpha*(2*(diff(diff(diff(f(x, y, z, t), x), x), x))/f(x, y, z, t)-6*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^3)+beta*(2*(diff(diff(diff(f(x, y, z, t), x), x), y))/f(x, y, z, t)-2*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2-4*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3)+delta*(2*(diff(diff(diff(f(x, y, z, t), x), x), z))/f(x, y, z, t)-2*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), z))/f(x, y, z, t)^2-4*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), z))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), z))/f(x, y, z, t)^3)+2*(diff(diff(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x), x), x))/f(x, y, z, t)-10*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), y))/f(x, y, z, t)-10*(diff(diff(diff(f(x, y, z, t), x), y), y))/f(x, y, z, t)+1440*(diff(f(x, y, z, t), x))^7/f(x, y, z, t)^7+18*(diff(diff(diff(f(x, y, z, t), t), x), x))/f(x, y, z, t)+280*(diff(diff(diff(f(x, y, z, t), x), x), x))^2*(diff(f(x, y, z, t), x))/f(x, y, z, t)^3-5040*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))^5/f(x, y, z, t)^6+5040*(diff(diff(f(x, y, z, t), x), x))^2*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^5-1260*(diff(diff(f(x, y, z, t), x), x))^3*(diff(f(x, y, z, t), x))/f(x, y, z, t)^4-20*(diff(f(x, y, z, t), x))*(diff(f(x, y, z, t), y))^2/f(x, y, z, t)^3+84*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x))*(diff(f(x, y, z, t), x))^2/f(x, y, z, t)^3-420*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^4+1680*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))^4/f(x, y, z, t)^5+420*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(diff(f(x, y, z, t), x), x))^2/f(x, y, z, t)^3+36*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), t))/f(x, y, z, t)^3-36*(diff(diff(f(x, y, z, t), t), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2-18*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), t))/f(x, y, z, t)^2-14*(diff(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2-42*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x))*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^2-70*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(diff(diff(f(x, y, z, t), x), x), x))/f(x, y, z, t)^2+10*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2+40*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), y))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2+40*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^2-120*(diff(diff(diff(f(x, y, z, t), x), x), y))*(diff(f(x, y, z, t), x))^2/f(x, y, z, t)^3+60*(diff(diff(f(x, y, z, t), x), x))*(diff(diff(diff(f(x, y, z, t), x), x), y))/f(x, y, z, t)^2-60*(diff(diff(f(x, y, z, t), x), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3+240*(diff(f(x, y, z, t), x))^3*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^4-240*(diff(f(x, y, z, t), x))^4*(diff(f(x, y, z, t), y))/f(x, y, z, t)^5+20*(diff(diff(f(x, y, z, t), x), y))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2+10*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), y), y))/f(x, y, z, t)^2 = 0))*denom(lhs(-80*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3+360*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^4-240*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^3+420*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^3-2520*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))^2*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^4+alpha*(2*(diff(diff(diff(f(x, y, z, t), x), x), x))/f(x, y, z, t)-6*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^3)+beta*(2*(diff(diff(diff(f(x, y, z, t), x), x), y))/f(x, y, z, t)-2*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2-4*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3)+delta*(2*(diff(diff(diff(f(x, y, z, t), x), x), z))/f(x, y, z, t)-2*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), z))/f(x, y, z, t)^2-4*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), z))/f(x, y, z, t)^2+4*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), z))/f(x, y, z, t)^3)+2*(diff(diff(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x), x), x))/f(x, y, z, t)-10*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), y))/f(x, y, z, t)-10*(diff(diff(diff(f(x, y, z, t), x), y), y))/f(x, y, z, t)+1440*(diff(f(x, y, z, t), x))^7/f(x, y, z, t)^7+18*(diff(diff(diff(f(x, y, z, t), t), x), x))/f(x, y, z, t)+280*(diff(diff(diff(f(x, y, z, t), x), x), x))^2*(diff(f(x, y, z, t), x))/f(x, y, z, t)^3-5040*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))^5/f(x, y, z, t)^6+5040*(diff(diff(f(x, y, z, t), x), x))^2*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^5-1260*(diff(diff(f(x, y, z, t), x), x))^3*(diff(f(x, y, z, t), x))/f(x, y, z, t)^4-20*(diff(f(x, y, z, t), x))*(diff(f(x, y, z, t), y))^2/f(x, y, z, t)^3+84*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x))*(diff(f(x, y, z, t), x))^2/f(x, y, z, t)^3-420*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), x))^3/f(x, y, z, t)^4+1680*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))^4/f(x, y, z, t)^5+420*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(diff(f(x, y, z, t), x), x))^2/f(x, y, z, t)^3+36*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), t))/f(x, y, z, t)^3-36*(diff(diff(f(x, y, z, t), t), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2-18*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), t))/f(x, y, z, t)^2-14*(diff(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x), x))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2-42*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x))*(diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)^2-70*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(diff(diff(f(x, y, z, t), x), x), x))/f(x, y, z, t)^2+10*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2+40*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), y))*(diff(f(x, y, z, t), x))/f(x, y, z, t)^2+40*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^2-120*(diff(diff(diff(f(x, y, z, t), x), x), y))*(diff(f(x, y, z, t), x))^2/f(x, y, z, t)^3+60*(diff(diff(f(x, y, z, t), x), x))*(diff(diff(diff(f(x, y, z, t), x), x), y))/f(x, y, z, t)^2-60*(diff(diff(f(x, y, z, t), x), x))^2*(diff(f(x, y, z, t), y))/f(x, y, z, t)^3+240*(diff(f(x, y, z, t), x))^3*(diff(diff(f(x, y, z, t), x), y))/f(x, y, z, t)^4-240*(diff(f(x, y, z, t), x))^4*(diff(f(x, y, z, t), y))/f(x, y, z, t)^5+20*(diff(diff(f(x, y, z, t), x), y))*(diff(f(x, y, z, t), y))/f(x, y, z, t)^2+10*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), y), y))/f(x, y, z, t)^2 = 0))

420*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), x))*f(x, y, z, t)^4-2520*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))^2*(diff(diff(f(x, y, z, t), x), x))*f(x, y, z, t)^3-6*f(x, y, z, t)^5*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))*alpha-2*f(x, y, z, t)^5*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), y))*beta-4*f(x, y, z, t)^5*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), y))*beta+4*f(x, y, z, t)^4*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), y))*beta-2*f(x, y, z, t)^5*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), z))*delta-4*f(x, y, z, t)^5*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), z))*delta+4*f(x, y, z, t)^4*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), z))*delta-80*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))*(diff(f(x, y, z, t), y))*f(x, y, z, t)^4+360*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), y))*f(x, y, z, t)^3-240*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), y))*f(x, y, z, t)^4+2*(diff(diff(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x), x), x))*f(x, y, z, t)^6-10*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), y))*f(x, y, z, t)^6-10*(diff(diff(diff(f(x, y, z, t), x), y), y))*f(x, y, z, t)^6+18*(diff(diff(diff(f(x, y, z, t), t), x), x))*f(x, y, z, t)^6-14*(diff(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x), x))*(diff(f(x, y, z, t), x))*f(x, y, z, t)^5-42*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x))*(diff(diff(f(x, y, z, t), x), x))*f(x, y, z, t)^5-70*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(diff(diff(f(x, y, z, t), x), x), x))*f(x, y, z, t)^5+10*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), y))*f(x, y, z, t)^5+40*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), y))*(diff(f(x, y, z, t), x))*f(x, y, z, t)^5+40*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(diff(f(x, y, z, t), x), y))*f(x, y, z, t)^5-120*(diff(diff(diff(f(x, y, z, t), x), x), y))*(diff(f(x, y, z, t), x))^2*f(x, y, z, t)^4+60*(diff(diff(f(x, y, z, t), x), x))*(diff(diff(diff(f(x, y, z, t), x), x), y))*f(x, y, z, t)^5-60*(diff(diff(f(x, y, z, t), x), x))^2*(diff(f(x, y, z, t), y))*f(x, y, z, t)^4+240*(diff(f(x, y, z, t), x))^3*(diff(diff(f(x, y, z, t), x), y))*f(x, y, z, t)^3-240*(diff(f(x, y, z, t), x))^4*(diff(f(x, y, z, t), y))*f(x, y, z, t)^2+20*(diff(diff(f(x, y, z, t), x), y))*(diff(f(x, y, z, t), y))*f(x, y, z, t)^5+10*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), y), y))*f(x, y, z, t)^5+280*(diff(diff(diff(f(x, y, z, t), x), x), x))^2*(diff(f(x, y, z, t), x))*f(x, y, z, t)^4-5040*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))^5*f(x, y, z, t)+5040*(diff(diff(f(x, y, z, t), x), x))^2*(diff(f(x, y, z, t), x))^3*f(x, y, z, t)^2-1260*(diff(diff(f(x, y, z, t), x), x))^3*(diff(f(x, y, z, t), x))*f(x, y, z, t)^3-20*(diff(f(x, y, z, t), x))*(diff(f(x, y, z, t), y))^2*f(x, y, z, t)^4+84*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x))*(diff(f(x, y, z, t), x))^2*f(x, y, z, t)^4-420*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), x))^3*f(x, y, z, t)^3+1680*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))^4*f(x, y, z, t)^2+420*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(diff(f(x, y, z, t), x), x))^2*f(x, y, z, t)^4+36*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), t))*f(x, y, z, t)^4-36*(diff(diff(f(x, y, z, t), t), x))*(diff(f(x, y, z, t), x))*f(x, y, z, t)^5-18*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), t))*f(x, y, z, t)^5+2*f(x, y, z, t)^6*(diff(diff(diff(f(x, y, z, t), x), x), x))*alpha+4*f(x, y, z, t)^4*(diff(f(x, y, z, t), x))^3*alpha+2*f(x, y, z, t)^6*(diff(diff(diff(f(x, y, z, t), x), x), y))*beta+2*f(x, y, z, t)^6*(diff(diff(diff(f(x, y, z, t), x), x), z))*delta+1440*(diff(f(x, y, z, t), x))^7 = 0

(8)

F1 := %

420*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), x))*f(x, y, z, t)^4-2520*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))^2*(diff(diff(f(x, y, z, t), x), x))*f(x, y, z, t)^3-6*f(x, y, z, t)^5*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))*alpha-2*f(x, y, z, t)^5*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), y))*beta-4*f(x, y, z, t)^5*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), y))*beta+4*f(x, y, z, t)^4*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), y))*beta-2*f(x, y, z, t)^5*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), z))*delta-4*f(x, y, z, t)^5*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), z))*delta+4*f(x, y, z, t)^4*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), z))*delta-80*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))*(diff(f(x, y, z, t), y))*f(x, y, z, t)^4+360*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), y))*f(x, y, z, t)^3-240*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), x), y))*f(x, y, z, t)^4+2*(diff(diff(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x), x), x))*f(x, y, z, t)^6-10*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), y))*f(x, y, z, t)^6-10*(diff(diff(diff(f(x, y, z, t), x), y), y))*f(x, y, z, t)^6+18*(diff(diff(diff(f(x, y, z, t), t), x), x))*f(x, y, z, t)^6-14*(diff(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x), x))*(diff(f(x, y, z, t), x))*f(x, y, z, t)^5-42*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x))*(diff(diff(f(x, y, z, t), x), x))*f(x, y, z, t)^5-70*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(diff(diff(f(x, y, z, t), x), x), x))*f(x, y, z, t)^5+10*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), y))*f(x, y, z, t)^5+40*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), y))*(diff(f(x, y, z, t), x))*f(x, y, z, t)^5+40*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(diff(f(x, y, z, t), x), y))*f(x, y, z, t)^5-120*(diff(diff(diff(f(x, y, z, t), x), x), y))*(diff(f(x, y, z, t), x))^2*f(x, y, z, t)^4+60*(diff(diff(f(x, y, z, t), x), x))*(diff(diff(diff(f(x, y, z, t), x), x), y))*f(x, y, z, t)^5-60*(diff(diff(f(x, y, z, t), x), x))^2*(diff(f(x, y, z, t), y))*f(x, y, z, t)^4+240*(diff(f(x, y, z, t), x))^3*(diff(diff(f(x, y, z, t), x), y))*f(x, y, z, t)^3-240*(diff(f(x, y, z, t), x))^4*(diff(f(x, y, z, t), y))*f(x, y, z, t)^2+20*(diff(diff(f(x, y, z, t), x), y))*(diff(f(x, y, z, t), y))*f(x, y, z, t)^5+10*(diff(f(x, y, z, t), x))*(diff(diff(f(x, y, z, t), y), y))*f(x, y, z, t)^5+280*(diff(diff(diff(f(x, y, z, t), x), x), x))^2*(diff(f(x, y, z, t), x))*f(x, y, z, t)^4-5040*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), x))^5*f(x, y, z, t)+5040*(diff(diff(f(x, y, z, t), x), x))^2*(diff(f(x, y, z, t), x))^3*f(x, y, z, t)^2-1260*(diff(diff(f(x, y, z, t), x), x))^3*(diff(f(x, y, z, t), x))*f(x, y, z, t)^3-20*(diff(f(x, y, z, t), x))*(diff(f(x, y, z, t), y))^2*f(x, y, z, t)^4+84*(diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x))*(diff(f(x, y, z, t), x))^2*f(x, y, z, t)^4-420*(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x))*(diff(f(x, y, z, t), x))^3*f(x, y, z, t)^3+1680*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(f(x, y, z, t), x))^4*f(x, y, z, t)^2+420*(diff(diff(diff(f(x, y, z, t), x), x), x))*(diff(diff(f(x, y, z, t), x), x))^2*f(x, y, z, t)^4+36*(diff(f(x, y, z, t), x))^2*(diff(f(x, y, z, t), t))*f(x, y, z, t)^4-36*(diff(diff(f(x, y, z, t), t), x))*(diff(f(x, y, z, t), x))*f(x, y, z, t)^5-18*(diff(diff(f(x, y, z, t), x), x))*(diff(f(x, y, z, t), t))*f(x, y, z, t)^5+2*f(x, y, z, t)^6*(diff(diff(diff(f(x, y, z, t), x), x), x))*alpha+4*f(x, y, z, t)^4*(diff(f(x, y, z, t), x))^3*alpha+2*f(x, y, z, t)^6*(diff(diff(diff(f(x, y, z, t), x), x), y))*beta+2*f(x, y, z, t)^6*(diff(diff(diff(f(x, y, z, t), x), x), z))*delta+1440*(diff(f(x, y, z, t), x))^7 = 0

(9)

NULL

S := f(x, y, z, t) = a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])

f(x, y, z, t) = a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])

(10)

A := eval(F1, S)

600*a[1]^4*k[1]^4*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4*p[1]*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3+1204*a[1]^3*k[1]^7*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4-4200*a[1]^4*k[1]^7*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3-500*a[1]^3*k[1]^4*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3*p[1]*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4+30*a[1]^2*k[1]*p[1]^2*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5-54*a[1]^2*w[1]*k[1]^2*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5-6*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5*a[1]^2*k[1]^3*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2*alpha-6*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5*a[1]^2*k[1]^2*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2*p[1]*beta+4*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4*a[1]^3*k[1]^2*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3*p[1]*beta-6*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5*a[1]^2*k[1]^2*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2*r[1]*delta+4*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4*a[1]^3*k[1]^2*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3*r[1]*delta+18*a[1]*w[1]*k[1]^2*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6-10*a[1]*k[1]*p[1]^2*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6+2*a[1]*k[1]^7*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6-10*a[1]*k[1]^4*p[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6+2*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6*a[1]*k[1]^2*p[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*beta+2*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6*a[1]*k[1]^2*r[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*delta+1440*a[1]^7*k[1]^7*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^7-5040*a[1]^6*k[1]^7*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))+6720*a[1]^5*k[1]^7*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2-20*a[1]^3*k[1]*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3*p[1]^2*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4+36*a[1]^3*k[1]^2*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3*w[1]*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4+2*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6*a[1]*k[1]^3*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*alpha+4*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4*a[1]^3*k[1]^3*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3*alpha-126*a[1]^2*k[1]^7*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5+150*a[1]^2*k[1]^4*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2*p[1]*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5-240*a[1]^5*k[1]^4*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5*p[1]*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2 = 0

(11)

simplify(1440*a[1]^7*k[1]^7*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^7+6720*a[1]^5*k[1]^7*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2-126*a[1]^2*k[1]^7*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5+1204*a[1]^3*k[1]^7*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4-4200*a[1]^4*k[1]^7*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3+2*a[1]*k[1]^7*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6-5040*a[1]^6*k[1]^7*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))+600*a[1]^4*k[1]^4*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4*p[1]*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3-500*a[1]^3*k[1]^4*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3*p[1]*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4+30*a[1]^2*k[1]*p[1]^2*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5-54*a[1]^2*w[1]*k[1]^2*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5-6*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5*a[1]^2*k[1]^3*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2*alpha+18*a[1]*w[1]*k[1]^2*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6-10*a[1]*k[1]*p[1]^2*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6-10*a[1]*k[1]^4*p[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6-20*a[1]^3*k[1]*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3*p[1]^2*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4+36*a[1]^3*k[1]^2*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3*w[1]*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4+2*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6*a[1]*k[1]^3*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*alpha+4*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4*a[1]^3*k[1]^3*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3*alpha+150*a[1]^2*k[1]^4*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2*p[1]*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5-240*a[1]^5*k[1]^4*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5*p[1]*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2-6*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5*a[1]^2*k[1]^2*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2*p[1]*beta+4*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4*a[1]^3*k[1]^2*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3*p[1]*beta-6*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^5*a[1]^2*k[1]^2*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^2*r[1]*delta+4*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^4*a[1]^3*k[1]^2*(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^3*r[1]*delta+2*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6*a[1]*k[1]^2*p[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*beta+2*(a[0]+a[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]))^6*a[1]*k[1]^2*r[1]*exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*delta = 0)

2*a[0]*k[1]*(-57*a[0]^4*(k[1]^6-(15/19)*k[1]^3*p[1]-(1/19)*k[1]^2*alpha+(1/19)*(-beta*p[1]-delta*r[1]-9*w[1])*k[1]+(5/19)*p[1]^2)*a[1]*exp(2*t*w[1]+2*x*k[1]+2*y*p[1]+2*z*r[1])+302*a[0]^3*(k[1]^6+(25/151)*k[1]^3*p[1]+(1/151)*k[1]^2*alpha+(1/151)*(beta*p[1]+delta*r[1]+9*w[1])*k[1]-(5/151)*p[1]^2)*a[1]^2*exp(3*t*w[1]+3*x*k[1]+3*y*p[1]+3*z*r[1])-302*a[0]^2*(k[1]^6+(25/151)*k[1]^3*p[1]+(1/151)*k[1]^2*alpha+(1/151)*(beta*p[1]+delta*r[1]+9*w[1])*k[1]-(5/151)*p[1]^2)*a[1]^3*exp(4*t*w[1]+4*x*k[1]+4*y*p[1]+4*z*r[1])+57*a[0]*(k[1]^6-(15/19)*k[1]^3*p[1]-(1/19)*k[1]^2*alpha+(1/19)*(-beta*p[1]-delta*r[1]-9*w[1])*k[1]+(5/19)*p[1]^2)*a[1]^4*exp(5*t*w[1]+5*x*k[1]+5*y*p[1]+5*z*r[1])+(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*a[0]^5-exp(6*t*w[1]+6*x*k[1]+6*y*p[1]+6*z*r[1])*a[1]^5)*(k[1]^6-5*k[1]^3*p[1]+k[1]^2*alpha+(beta*p[1]+delta*r[1]+9*w[1])*k[1]-5*p[1]^2))*a[1] = 0

(12)

E := %

2*a[0]*k[1]*(-57*a[0]^4*(k[1]^6-(15/19)*k[1]^3*p[1]-(1/19)*k[1]^2*alpha+(1/19)*(-beta*p[1]-delta*r[1]-9*w[1])*k[1]+(5/19)*p[1]^2)*a[1]*exp(2*t*w[1]+2*x*k[1]+2*y*p[1]+2*z*r[1])+302*a[0]^3*(k[1]^6+(25/151)*k[1]^3*p[1]+(1/151)*k[1]^2*alpha+(1/151)*(beta*p[1]+delta*r[1]+9*w[1])*k[1]-(5/151)*p[1]^2)*a[1]^2*exp(3*t*w[1]+3*x*k[1]+3*y*p[1]+3*z*r[1])-302*a[0]^2*(k[1]^6+(25/151)*k[1]^3*p[1]+(1/151)*k[1]^2*alpha+(1/151)*(beta*p[1]+delta*r[1]+9*w[1])*k[1]-(5/151)*p[1]^2)*a[1]^3*exp(4*t*w[1]+4*x*k[1]+4*y*p[1]+4*z*r[1])+57*a[0]*(k[1]^6-(15/19)*k[1]^3*p[1]-(1/19)*k[1]^2*alpha+(1/19)*(-beta*p[1]-delta*r[1]-9*w[1])*k[1]+(5/19)*p[1]^2)*a[1]^4*exp(5*t*w[1]+5*x*k[1]+5*y*p[1]+5*z*r[1])+(exp(t*w[1]+x*k[1]+y*p[1]+z*r[1])*a[0]^5-exp(6*t*w[1]+6*x*k[1]+6*y*p[1]+6*z*r[1])*a[1]^5)*(k[1]^6-5*k[1]^3*p[1]+k[1]^2*alpha+(beta*p[1]+delta*r[1]+9*w[1])*k[1]-5*p[1]^2))*a[1] = 0

(13)

indets(E)

{alpha, beta, delta, t, x, y, z, a[0], a[1], k[1], p[1], r[1], w[1], exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]), exp(2*t*w[1]+2*x*k[1]+2*y*p[1]+2*z*r[1]), exp(3*t*w[1]+3*x*k[1]+3*y*p[1]+3*z*r[1]), exp(4*t*w[1]+4*x*k[1]+4*y*p[1]+4*z*r[1]), exp(5*t*w[1]+5*x*k[1]+5*y*p[1]+5*z*r[1]), exp(6*t*w[1]+6*x*k[1]+6*y*p[1]+6*z*r[1])}

(14)

E1 := subs({exp(t*w[1]+x*k[1]+y*p[1]+z*r[1]) = eX, exp(2*t*w[1]+2*x*k[1]+2*y*p[1]+2*z*r[1]) = eY, exp(3*t*w[1]+3*x*k[1]+3*y*p[1]+3*z*r[1]) = eZ, exp(4*t*w[1]+4*x*k[1]+4*y*p[1]+4*z*r[1]) = eW, exp(5*t*w[1]+5*x*k[1]+5*y*p[1]+5*z*r[1]) = eV, exp(6*t*w[1]+6*x*k[1]+6*y*p[1]+6*z*r[1]) = eB}, E)

2*a[0]*k[1]*(-57*a[0]^4*(k[1]^6-(15/19)*k[1]^3*p[1]-(1/19)*k[1]^2*alpha+(1/19)*(-beta*p[1]-delta*r[1]-9*w[1])*k[1]+(5/19)*p[1]^2)*a[1]*eY+302*a[0]^3*(k[1]^6+(25/151)*k[1]^3*p[1]+(1/151)*k[1]^2*alpha+(1/151)*(beta*p[1]+delta*r[1]+9*w[1])*k[1]-(5/151)*p[1]^2)*a[1]^2*eZ-302*a[0]^2*(k[1]^6+(25/151)*k[1]^3*p[1]+(1/151)*k[1]^2*alpha+(1/151)*(beta*p[1]+delta*r[1]+9*w[1])*k[1]-(5/151)*p[1]^2)*a[1]^3*eW+57*a[0]*(k[1]^6-(15/19)*k[1]^3*p[1]-(1/19)*k[1]^2*alpha+(1/19)*(-beta*p[1]-delta*r[1]-9*w[1])*k[1]+(5/19)*p[1]^2)*a[1]^4*eV+(-eB*a[1]^5+eX*a[0]^5)*(k[1]^6-5*k[1]^3*p[1]+k[1]^2*alpha+(beta*p[1]+delta*r[1]+9*w[1])*k[1]-5*p[1]^2))*a[1] = 0

(15)

indets(E1)

{alpha, beta, delta, eB, eV, eW, eX, eY, eZ, a[0], a[1], k[1], p[1], r[1], w[1]}

(16)

p2c := normal(E1)

-2*a[0]*k[1]*(eB*a[1]^5*k[1]^6-57*eV*a[0]*a[1]^4*k[1]^6+302*eW*a[0]^2*a[1]^3*k[1]^6-eX*a[0]^5*k[1]^6+57*eY*a[0]^4*a[1]*k[1]^6-302*eZ*a[0]^3*a[1]^2*k[1]^6-5*eB*a[1]^5*k[1]^3*p[1]+45*eV*a[0]*a[1]^4*k[1]^3*p[1]+50*eW*a[0]^2*a[1]^3*k[1]^3*p[1]+5*eX*a[0]^5*k[1]^3*p[1]-45*eY*a[0]^4*a[1]*k[1]^3*p[1]-50*eZ*a[0]^3*a[1]^2*k[1]^3*p[1]+alpha*eB*a[1]^5*k[1]^2+3*alpha*eV*a[0]*a[1]^4*k[1]^2+2*alpha*eW*a[0]^2*a[1]^3*k[1]^2-alpha*eX*a[0]^5*k[1]^2-3*alpha*eY*a[0]^4*a[1]*k[1]^2-2*alpha*eZ*a[0]^3*a[1]^2*k[1]^2+beta*eB*a[1]^5*k[1]*p[1]+3*beta*eV*a[0]*a[1]^4*k[1]*p[1]+2*beta*eW*a[0]^2*a[1]^3*k[1]*p[1]-beta*eX*a[0]^5*k[1]*p[1]-3*beta*eY*a[0]^4*a[1]*k[1]*p[1]-2*beta*eZ*a[0]^3*a[1]^2*k[1]*p[1]+delta*eB*a[1]^5*k[1]*r[1]+3*delta*eV*a[0]*a[1]^4*k[1]*r[1]+2*delta*eW*a[0]^2*a[1]^3*k[1]*r[1]-delta*eX*a[0]^5*k[1]*r[1]-3*delta*eY*a[0]^4*a[1]*k[1]*r[1]-2*delta*eZ*a[0]^3*a[1]^2*k[1]*r[1]+9*eB*a[1]^5*k[1]*w[1]-5*eB*a[1]^5*p[1]^2+27*eV*a[0]*a[1]^4*k[1]*w[1]-15*eV*a[0]*a[1]^4*p[1]^2+18*eW*a[0]^2*a[1]^3*k[1]*w[1]-10*eW*a[0]^2*a[1]^3*p[1]^2-9*eX*a[0]^5*k[1]*w[1]+5*eX*a[0]^5*p[1]^2-27*eY*a[0]^4*a[1]*k[1]*w[1]+15*eY*a[0]^4*a[1]*p[1]^2-18*eZ*a[0]^3*a[1]^2*k[1]*w[1]+10*eZ*a[0]^3*a[1]^2*p[1]^2)*a[1] = 0

(17)

indets(p2c)

{alpha, beta, delta, eB, eV, eW, eX, eY, eZ, a[0], a[1], k[1], p[1], r[1], w[1]}

(18)

eqns := {coeffs(collect(p2c, {eB, eV, eW, eX, eY, eZ}, distributed), {eB, eV, eW, eX, eY, eZ})}; nops(%)

Error, invalid arguments to coeffs

 

1

(19)

NULL

Co := solve(E1, {a[0], a[1], k[1], n[1], p[1], r[1], w[1]}, explicit)

{a[0] = a[0], a[1] = a[1], k[1] = 0, n[1] = n[1], p[1] = p[1], r[1] = r[1], w[1] = w[1]}, {a[0] = a[0], a[1] = 0, k[1] = k[1], n[1] = n[1], p[1] = p[1], r[1] = r[1], w[1] = w[1]}, {a[0] = 0, a[1] = a[1], k[1] = k[1], n[1] = n[1], p[1] = p[1], r[1] = r[1], w[1] = w[1]}, {a[0] = a[0], a[1] = a[1], k[1] = k[1], n[1] = n[1], p[1] = p[1], r[1] = -(eB*a[1]^5*k[1]^6-57*eV*a[0]*a[1]^4*k[1]^6+302*eW*a[0]^2*a[1]^3*k[1]^6-eX*a[0]^5*k[1]^6+57*eY*a[0]^4*a[1]*k[1]^6-302*eZ*a[0]^3*a[1]^2*k[1]^6-5*eB*a[1]^5*k[1]^3*p[1]+45*eV*a[0]*a[1]^4*k[1]^3*p[1]+50*eW*a[0]^2*a[1]^3*k[1]^3*p[1]+5*eX*a[0]^5*k[1]^3*p[1]-45*eY*a[0]^4*a[1]*k[1]^3*p[1]-50*eZ*a[0]^3*a[1]^2*k[1]^3*p[1]+alpha*eB*a[1]^5*k[1]^2+3*alpha*eV*a[0]*a[1]^4*k[1]^2+2*alpha*eW*a[0]^2*a[1]^3*k[1]^2-alpha*eX*a[0]^5*k[1]^2-3*alpha*eY*a[0]^4*a[1]*k[1]^2-2*alpha*eZ*a[0]^3*a[1]^2*k[1]^2+beta*eB*a[1]^5*k[1]*p[1]+3*beta*eV*a[0]*a[1]^4*k[1]*p[1]+2*beta*eW*a[0]^2*a[1]^3*k[1]*p[1]-beta*eX*a[0]^5*k[1]*p[1]-3*beta*eY*a[0]^4*a[1]*k[1]*p[1]-2*beta*eZ*a[0]^3*a[1]^2*k[1]*p[1]+9*eB*a[1]^5*k[1]*w[1]-5*eB*a[1]^5*p[1]^2+27*eV*a[0]*a[1]^4*k[1]*w[1]-15*eV*a[0]*a[1]^4*p[1]^2+18*eW*a[0]^2*a[1]^3*k[1]*w[1]-10*eW*a[0]^2*a[1]^3*p[1]^2-9*eX*a[0]^5*k[1]*w[1]+5*eX*a[0]^5*p[1]^2-27*eY*a[0]^4*a[1]*k[1]*w[1]+15*eY*a[0]^4*a[1]*p[1]^2-18*eZ*a[0]^3*a[1]^2*k[1]*w[1]+10*eZ*a[0]^3*a[1]^2*p[1]^2)/(delta*k[1]*(eB*a[1]^5+3*eV*a[0]*a[1]^4+2*eW*a[0]^2*a[1]^3-eX*a[0]^5-3*eY*a[0]^4*a[1]-2*eZ*a[0]^3*a[1]^2)), w[1] = w[1]}

(20)

NULL

case1 := Co[1]

{a[0] = a[0], a[1] = a[1], k[1] = 0, n[1] = n[1], p[1] = p[1], r[1] = r[1], w[1] = w[1]}

(21)

F := subs(case1, S)

f(x, y, z, t) = a[0]+a[1]*exp(t*w[1]+y*p[1]+z*r[1])

(22)

F1 := eval(H, F)

u(x, y, z, t) = 0

(23)

NULL

pdetest(F1, pde)

0

(24)

Download F-P-O-W.mw

Dear community,

i want to create my own RGB Matrix for a plot. In this picture from maple soft homepage you can see a matrix A. I created a Matrix with 49 rows and 49 columns. From Datatyp Float. The plots is just red. Has anybody an idea how I can create a Matrix, which works?

I have two conditions, A and B, which must both be greater than or equal to zero. However, when I try to solve the problem, I encounter an error.

Could you please help me resolve this?

Note: All the parameters, whether specified or not, are positive and greater than zero.
File : Q3.mw

sometime this code i use make a problem for me and sometime they work very good how i can get something general for use in all equation 

restart

with(PDEtools)

with(LinearAlgebra)

NULL

with(SolveTools)

_local(gamma)

Warning, A new binding for the name `gamma` has been created. The global instance of this name is still accessible using the :- prefix, :-`gamma`.  See ?protect for details.

 

``

`There is no more prime differentiation variable; all derivatives will be displayed as indexed functions`

(1)

declare(u(x, y, z, w, t))

u(x, y, z, w, t)*`will now be displayed as`*u

(2)

declare(f(x, y, z, w, t))

f(x, y, z, w, t)*`will now be displayed as`*f

(3)

pde := 4*(diff(u(x, y, z, w, t), x, t))-(diff(u(x, y, z, w, t), `$`(x, 3), y))+diff(u(x, y, z, w, t), x, `$`(y, 3))+12*(diff(u(x, y, z, w, t), x))*(diff(u(x, y, z, w, t), y))+12*u(x, y, z, w, t)*(diff(u(x, y, z, w, t), x, y))-6*(diff(u(x, y, z, w, t), z, w)) = 0

4*(diff(diff(u(x, y, z, w, t), t), x))-(diff(diff(diff(diff(u(x, y, z, w, t), x), x), x), y))+diff(diff(diff(diff(u(x, y, z, w, t), x), y), y), y)+12*(diff(u(x, y, z, w, t), x))*(diff(u(x, y, z, w, t), y))+12*u(x, y, z, w, t)*(diff(diff(u(x, y, z, w, t), x), y))-6*(diff(diff(u(x, y, z, w, t), w), z)) = 0

(4)

oppde := [op(expand(pde))]; u_occurrences := map(proc (i) options operator, arrow; numelems(select(has, [op([op(i)])], u)) end proc, oppde); linear_op_indices := ListTools:-SearchAll(1, u_occurrences); pde_linear := add(oppde[[linear_op_indices]]); pde_nonlinear := expand(simplify(expand(pde)-pde_linear))

0

 

4*(diff(diff(u(x, y, z, w, t), t), x))-(diff(diff(diff(diff(u(x, y, z, w, t), x), x), x), y))+diff(diff(diff(diff(u(x, y, z, w, t), x), y), y), y)+12*(diff(u(x, y, z, w, t), x))*(diff(u(x, y, z, w, t), y))+12*u(x, y, z, w, t)*(diff(diff(u(x, y, z, w, t), x), y))-6*(diff(diff(u(x, y, z, w, t), w), z)) = 0

(5)

pde_linear, pde_nonlinear := selectremove(proc (term) options operator, arrow; not has((eval(term, u(x, y, z, w, t) = a*u(x, y, z, w, t)))/a, a) end proc, expand(pde))

() = 0, 4*(diff(diff(u(x, y, z, w, t), t), x))-(diff(diff(diff(diff(u(x, y, z, w, t), x), x), x), y))+diff(diff(diff(diff(u(x, y, z, w, t), x), y), y), y)+12*(diff(u(x, y, z, w, t), x))*(diff(u(x, y, z, w, t), y))+12*u(x, y, z, w, t)*(diff(diff(u(x, y, z, w, t), x), y))-6*(diff(diff(u(x, y, z, w, t), w), z)) = ()

(6)
 

NULL

Download seperate_L-NL.mw

I need to take up an issue which is quite old, but still unsolved.

https://www.mapleprimes.com/questions/234249-Text-Quality-On-Screen

The problem is that in specific display configurations with one (rotated) vertical screen and multiple horizontal screens, the quality of fonts especially is significantly lower in Maple as with a configuration with just horizontal screens.

The affect is visible in Maple when it is on the horizontal (unrotated) screens.

Here are screenshots for comparision, and the layout of my desktop.

Screen layout:

Screenshot rotated

Screenshot unrotated

It seems that the problem is present when starting Maple. Changing the rotation of the screen when Maple is running does not affect the font quality in Maple.

Other (Windows) programs are not affected at all of this changes, so this seems to be a Java issue.

For constants I prefer subscripts over indeces.

I noticed that numbers in subscripts are printed in italic. This is against a common prettyprint convention, where variables are in italic and numbers are in roman. In the example below "1" can easily be misread as "l" (which is probably one of the reasons for this convention)

Is there a way to get numbers printed in roman in subscripts? To force roman print I tried

t__`#mo("1");`
Error, missing operator or `;`

In 2d-Math the convention is respected in the input but not in the outut

ut + 1/2(u^2)x −uxx =0, u(x,0)=x.

 

Your MaplePrimes post The package ODECSplines - Description was deleted by a moderator for the following reason: 3. If you believe this was done in error, please contact Maplesoft customer service: https://www.maplesoft.com/contact.

Does anyone know what is ment by reason 3. ?

"By clicking “Accept,” you agree to our website's cookie use as described in our Cookie Policy. You can change your cookie settings at any time by clicking “Preferences.”

Where is the "Preferences" button/check that I am supposed to click?  This is very irritating because each "Recent Questions" I click on to review, this banner pops up.

Thank you

u'''-u=x+2 u'(0)=2, u''(0)=2

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