MaplePrimes Questions

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

my answer is so different but  and i want remove this lambert in my test? can we do something for giving question exactly solve the question by model i have a book of ode which a lot of time i do some trail but have a problem? how i can remove this issue specially for bernoli and  other type?

restart

with(DEtools, odeadvisor)

ode := diff(y(x), x)+x/y(x)+2 = 0

diff(y(x), x)+x/y(x)+2 = 0

(1)

Student:-ODEs:-Type(ode)

{}

(2)

odeadvisor(ode)

[[_homogeneous, `class A`], _rational, [_Abel, `2nd type`, `class A`]]

(3)

Student:-ODEs:-Type(ode); W := dsolve(ode); odetest(W, ode)

{}

 

y(x) = -x*(LambertW(-c__1*x)+1)/LambertW(-c__1*x)

 

0

(4)

Download test.mw

I want both Pc and r(Pc) to be greater than or equal to zero. The only constraint is that all parameters for which I’ve provided data must remain positive. Can we identify the key parameters that significantly affect Pc? Also, what condition ensures that Pc ≥ 0? Ideally, I’d like Pc to be less than or equal to Pu. Could you suggest what changes in the numerical values I should make to ensure Pc becomes a positive value?

Attaching file: Q2.mw

Can we include a graph that shows how Pc changes with respect to variations in the most sensitive parameters?

With the new GUI:
I get all files (*.*) listed by default.
Other file types to filter are not listed.

Is this the same on other machines?

Can I do something about it?

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