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why directly not find ode answer? ...

Arya-S-AA 175 Maple
ode dsolve differential-equations
April 14 2025
2 2

in this example is so different solution How i can get directly answer of this kind of ode equation when contain complicate term

restart; ode := 6*x*y(x)^2+4*x^3*y(x)+(6*x^2*y(x)+x^4+exp(y(x)))*(diff(y(x), x)) = 0; with(DEtools, odeadvisor); Student:-ODEs:-Type(ode); W := dsolve(ode, y(x)); odetest(W, ode)

0

 (1)

NULL

Download ode.mw

How determine the ode type ? my answer a...

Arya-S-AA 175 Maple 2024
ode differential-equations duplicate-account
April 08 2025
1 1

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

setting all parameter but plot now shown...

Arya-S-AA 175 Maple 2024
eval explore plotting
March 11 2025
1 5

i don't know where is issue?

p-not.mw

> 

restart
> 

_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.

  
> 

t := 0

0

 (1)
> 

M := -(2*(-(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])-(alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))/(a[1]+I*b[1])+((6*(a[4]+I*b[4]))*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])/((a[1]+I*b[1]-a[4]-I*b[4])^2*beta)+(6*(a[4]+I*b[4]))*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/((conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2*beta)-(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])-(alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))/(a[1]+I*b[1]))*exp((a[2]+I*b[2])*(-((a[2]+I*b[2])^2*(a[4]+I*b[4])+alpha*(a[4]+I*b[4])+beta)*t/(a[4]+I*b[4])+(a[4]+I*b[4])*y+x)+a[3]+I*b[3])+(36*(a[4]+I*b[4])^2*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-a[4]-I*b[4])^2*beta^2*(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2)-(6*(a[4]+I*b[4]))*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-a[4]-I*b[4])^2*beta*conjugate(a[1]+I*b[1]))-(6*(a[4]+I*b[4]))*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))*(alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))/((conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2*beta*(a[1]+I*b[1]))+(alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))*(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/((a[1]+I*b[1])*conjugate(a[1]+I*b[1]))+(6*(a[1]+I*b[1]))*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2*beta))*(a[2]+I*b[2])*exp((a[2]+I*b[2])*(-((a[2]+I*b[2])^2*(a[4]+I*b[4])+alpha*(a[4]+I*b[4])+beta)*t/(a[4]+I*b[4])+(a[4]+I*b[4])*y+x)+a[3]+I*b[3])+(6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])/((a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2*beta)+6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/((conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2*beta)-(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])-(alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))/(a[1]+I*b[1]))*exp(conjugate(a[2]+I*b[2])*(-(conjugate(a[2]+I*b[2])^2*conjugate(a[4]+I*b[4])+alpha*conjugate(a[4]+I*b[4])+beta)*t/conjugate(a[4]+I*b[4])+conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))+(36*conjugate(a[4]+I*b[4])^2*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2*beta^2*(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2)-6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2*beta*conjugate(a[1]+I*b[1]))-6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))*(alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))/((conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2*beta*(a[1]+I*b[1]))+(alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))*(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/((a[1]+I*b[1])*conjugate(a[1]+I*b[1]))+(6*(a[1]+I*b[1]))*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2*beta))*conjugate(a[2]+I*b[2])*exp(conjugate(a[2]+I*b[2])*(-(conjugate(a[2]+I*b[2])^2*conjugate(a[4]+I*b[4])+alpha*conjugate(a[4]+I*b[4])+beta)*t/conjugate(a[4]+I*b[4])+conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))+(-(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])-(alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))/(a[1]+I*b[1])+(6*(a[4]+I*b[4]))*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/((conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2*beta)+6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/((conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2*beta)+(6*(a[4]+I*b[4]))*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])/((a[1]+I*b[1]-a[4]-I*b[4])^2*beta)+6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])/((a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2*beta))*((-(3*(a[2]+I*b[2]))*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-(2*(-3*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])*(1/2)+beta))*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)*exp((a[2]+I*b[2])*(-((a[2]+I*b[2])^2*(a[4]+I*b[4])+alpha*(a[4]+I*b[4])+beta)*t/(a[4]+I*b[4])+(a[4]+I*b[4])*y+x)+a[3]+I*b[3]+conjugate(a[2]+I*b[2])*(-(conjugate(a[2]+I*b[2])^2*conjugate(a[4]+I*b[4])+alpha*conjugate(a[4]+I*b[4])+beta)*t/conjugate(a[4]+I*b[4])+conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))/((-(3*(a[2]+I*b[2]))*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-(2*(3*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])*(1/2)+beta))*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)+((alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))*(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/((a[1]+I*b[1])*conjugate(a[1]+I*b[1]))-((6*(a[4]+I*b[4]))*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/((conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2*beta)+6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/((conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2*beta))*(alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))/(a[1]+I*b[1])-((6*(a[4]+I*b[4]))*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])/((a[1]+I*b[1]-a[4]-I*b[4])^2*beta)+6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])/((a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2*beta))*(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])+(6*(a[1]+I*b[1]))*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2*beta)+36*(a[4]+I*b[4])^2*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-a[4]-I*b[4])^2*beta^2*(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2)+36*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2*beta^2*(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2)+(36*(a[4]+I*b[4]))*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-a[4]-I*b[4])^2*beta^2*(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2)+36*conjugate(a[4]+I*b[4])^2*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2*beta^2*(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2))*((-(3*(a[2]+I*b[2]))*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-(2*(-3*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])*(1/2)+beta))*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*exp((a[2]+I*b[2])*(-((a[2]+I*b[2])^2*(a[4]+I*b[4])+alpha*(a[4]+I*b[4])+beta)*t/(a[4]+I*b[4])+(a[4]+I*b[4])*y+x)+a[3]+I*b[3]+conjugate(a[2]+I*b[2])*(-(conjugate(a[2]+I*b[2])^2*conjugate(a[4]+I*b[4])+alpha*conjugate(a[4]+I*b[4])+beta)*t/conjugate(a[4]+I*b[4])+conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))/((-(3*(a[2]+I*b[2]))*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-(2*(3*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])*(1/2)+beta))*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)))/((alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))*(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/((a[1]+I*b[1])*conjugate(a[1]+I*b[1]))+(6*(a[1]+I*b[1]))*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2*beta)+(36*(a[4]+I*b[4])^2*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-a[4]-I*b[4])^2*beta^2*(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2)-(6*(a[4]+I*b[4]))*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-a[4]-I*b[4])^2*beta*conjugate(a[1]+I*b[1]))-(6*(a[4]+I*b[4]))*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))*(alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))/((conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2*beta*(a[1]+I*b[1]))+(alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))*(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/((a[1]+I*b[1])*conjugate(a[1]+I*b[1]))+(6*(a[1]+I*b[1]))*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2*beta))*exp((a[2]+I*b[2])*(-((a[2]+I*b[2])^2*(a[4]+I*b[4])+alpha*(a[4]+I*b[4])+beta)*t/(a[4]+I*b[4])+(a[4]+I*b[4])*y+x)+a[3]+I*b[3])+(36*conjugate(a[4]+I*b[4])^2*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2*beta^2*(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2)-6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2*beta*conjugate(a[1]+I*b[1]))-6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))*(alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))/((conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2*beta*(a[1]+I*b[1]))+(alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))*(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/((a[1]+I*b[1])*conjugate(a[1]+I*b[1]))+(6*(a[1]+I*b[1]))*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2*beta))*exp(conjugate(a[2]+I*b[2])*(-(conjugate(a[2]+I*b[2])^2*conjugate(a[4]+I*b[4])+alpha*conjugate(a[4]+I*b[4])+beta)*t/conjugate(a[4]+I*b[4])+conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))+((alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))*(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/((a[1]+I*b[1])*conjugate(a[1]+I*b[1]))-((6*(a[4]+I*b[4]))*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/((conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2*beta)+6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/((conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2*beta))*(alpha*t*(a[1]+I*b[1])-y*(a[1]+I*b[1])^2+beta*t-x*(a[1]+I*b[1]))/(a[1]+I*b[1])-((6*(a[4]+I*b[4]))*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])/((a[1]+I*b[1]-a[4]-I*b[4])^2*beta)+6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])/((a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2*beta))*(alpha*t*conjugate(a[1]+I*b[1])-y*conjugate(a[1]+I*b[1])^2+beta*t-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])+(6*(a[1]+I*b[1]))*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2*beta)+36*(a[4]+I*b[4])^2*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-a[4]-I*b[4])^2*beta^2*(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2)+36*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2*beta^2*(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2)+(36*(a[4]+I*b[4]))*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-a[4]-I*b[4])^2*beta^2*(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2)+36*conjugate(a[4]+I*b[4])^2*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/((a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2*beta^2*(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2))*((-(3*(a[2]+I*b[2]))*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-(2*(-3*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])*(1/2)+beta))*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)*exp((a[2]+I*b[2])*(-((a[2]+I*b[2])^2*(a[4]+I*b[4])+alpha*(a[4]+I*b[4])+beta)*t/(a[4]+I*b[4])+(a[4]+I*b[4])*y+x)+a[3]+I*b[3]+conjugate(a[2]+I*b[2])*(-(conjugate(a[2]+I*b[2])^2*conjugate(a[4]+I*b[4])+alpha*conjugate(a[4]+I*b[4])+beta)*t/conjugate(a[4]+I*b[4])+conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))/((-(3*(a[2]+I*b[2]))*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-(2*(3*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])*(1/2)+beta))*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2))

NULL

> 

lprint(indets(M,name));

{beta, x, y, a[1], a[2], a[3], a[4], b[1], b[2], b[3], b[4]}

  
> 

G := proc(alpha,beta,a__1,a__2,a__3,a__4,b__1,b__2,b__3,b__4) global last; last := [[:-alpha=alpha, :-beta=beta, :-a[1]=a__1 , :-a[2]=a__2, :-a[3]=a__3,:-a[4]=a__4,:-b[1]=b__1,:-b[2]=b__2,:-b[3]=b__3,:-b[4]=b__4], eval(M, [:-alpha=alpha, :-beta=beta,:-a[1]=a__1,:-a[2]=a__2 ,:-a[3]=a__3,:-a[4]=a__4,:-b[1]=b__1,:-b[2]=b__2,:-b[3]=b__3,:-b[4]=b__4])]; plot3d(eval(M), y = -100 .. 100, x = -100 .. 100, view = -100 .. 100, grid = [150, 150], color = blue, style = surface, adaptmesh = false, size = [500, 500]); end proc;

proc (alpha, beta, a__1, a__2, a__3, a__4, b__1, b__2, b__3, b__4) global last; last := [[:-alpha = alpha, :-beta = beta, :-a[1] = a__1, :-a[2] = a__2, :-a[3] = a__3, :-a[4] = a__4, :-b[1] = b__1, :-b[2] = b__2, :-b[3] = b__3, :-b[4] = b__4], eval(M, [:-alpha = alpha, :-beta = beta, :-a[1] = a__1, :-a[2] = a__2, :-a[3] = a__3, :-a[4] = a__4, :-b[1] = b__1, :-b[2] = b__2, :-b[3] = b__3, :-b[4] = b__4])]; plot3d(eval(M), y = -100 .. 100, x = -100 .. 100, view = -100 .. 100, grid = [150, 150], color = blue, style = surface, adaptmesh = false, size = [500, 500]) end proc

 (2)
> 

last := 'last'; Explore(G(alpha, beta, a__1, a__2, a__3, a__4, b__1, b__2, b__3, b__4), alpha = -5.000000001 .. 5.000000001, beta = -5.000000001 .. 5.00000010, a__1 = -5.000000001 .. 5.00000010, a__2 = -5.000000001 .. 5.00000010, a__3 = -5.000000001 .. 5.00000010, a__4 = -5.000000001 .. 5.00000010, b__1 = -5.000000001 .. 5.00000010, b__2 = -5.000000001 .. 5.00000010, b__3 = -5.000000001 .. 5.00000010, b__4 = -5.000000001 .. 5.00000010, placement = right)

Warning, expecting only range variables [y, x] in expression -2*(-(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])-(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(a[1]+I*b[1])+(6*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta+6*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2/beta-(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])-(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(a[1]+I*b[1]))*exp((a[2]+I*b[2])*((a[4]+I*b[4])*y+x)+a[3]+I*b[3])+(36*(a[4]+I*b[4])^2*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta^2/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2-6*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta/conjugate(a[1]+I*b[1])-6*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))*(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2/beta/(a[1]+I*b[1])+(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1])/conjugate(a[1]+I*b[1])+6*(a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2/beta)*(a[2]+I*b[2])*exp((a[2]+I*b[2])*((a[4]+I*b[4])*y+x)+a[3]+I*b[3])+(6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta+6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2/beta-(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])-(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(a[1]+I*b[1]))*exp(conjugate(a[2]+I*b[2])*(conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))+(36*conjugate(a[4]+I*b[4])^2*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta^2/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2-6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta/conjugate(a[1]+I*b[1])-6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))*(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2/beta/(a[1]+I*b[1])+(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1])/conjugate(a[1]+I*b[1])+6*(a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2/beta)*conjugate(a[2]+I*b[2])*exp(conjugate(a[2]+I*b[2])*(conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))+(-(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])-(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(a[1]+I*b[1])+6*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2/beta+6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2/beta+6*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta+6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta)*((-3*(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-2*(-3/2*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)*exp((a[2]+I*b[2])*((a[4]+I*b[4])*y+x)+a[3]+I*b[3]+conjugate(a[2]+I*b[2])*(conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))/((-3*(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-2*(3/2*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)+((-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1])/conjugate(a[1]+I*b[1])-(6*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2/beta+6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2/beta)*(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(a[1]+I*b[1])-(6*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta+6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta)*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])+6*(a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2/beta+36*(a[4]+I*b[4])^2*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta^2/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2+36*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta^2/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2+36*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta^2/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2+36*conjugate(a[4]+I*b[4])^2*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta^2/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2)*((-3*(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-2*(-3/2*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*exp((a[2]+I*b[2])*((a[4]+I*b[4])*y+x)+a[3]+I*b[3]+conjugate(a[2]+I*b[2])*(conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))/((-3*(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-2*(3/2*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2))/((-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1])/conjugate(a[1]+I*b[1])+6*(a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2/beta+(36*(a[4]+I*b[4])^2*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta^2/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2-6*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta/conjugate(a[1]+I*b[1])-6*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))*(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2/beta/(a[1]+I*b[1])+(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1])/conjugate(a[1]+I*b[1])+6*(a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2/beta)*exp((a[2]+I*b[2])*((a[4]+I*b[4])*y+x)+a[3]+I*b[3])+(36*conjugate(a[4]+I*b[4])^2*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta^2/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2-6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta/conjugate(a[1]+I*b[1])-6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))*(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2/beta/(a[1]+I*b[1])+(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1])/conjugate(a[1]+I*b[1])+6*(a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2/beta)*exp(conjugate(a[2]+I*b[2])*(conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))+((-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1])/conjugate(a[1]+I*b[1])-(6*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2/beta+6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2/beta)*(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(a[1]+I*b[1])-(6*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta+6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta)*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])+6*(a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2/beta+36*(a[4]+I*b[4])^2*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta^2/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2+36*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta^2/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2+36*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta^2/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2+36*conjugate(a[4]+I*b[4])^2*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta^2/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2)*((-3*(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-2*(-3/2*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)*exp((a[2]+I*b[2])*((a[4]+I*b[4])*y+x)+a[3]+I*b[3]+conjugate(a[2]+I*b[2])*(conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))/((-3*(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-2*(3/2*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)) to be plotted but found names [beta, a[1], a[2], a[3], a[4], b[1], b[2], b[3], b[4]]

  

Warning, expecting only range variables [y, x] in expression -2*(-(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])-(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(a[1]+I*b[1])+(6*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta+6*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2/beta-(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])-(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(a[1]+I*b[1]))*exp((a[2]+I*b[2])*((a[4]+I*b[4])*y+x)+a[3]+I*b[3])+(36*(a[4]+I*b[4])^2*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta^2/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2-6*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta/conjugate(a[1]+I*b[1])-6*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))*(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2/beta/(a[1]+I*b[1])+(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1])/conjugate(a[1]+I*b[1])+6*(a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2/beta)*(a[2]+I*b[2])*exp((a[2]+I*b[2])*((a[4]+I*b[4])*y+x)+a[3]+I*b[3])+(6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta+6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2/beta-(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])-(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(a[1]+I*b[1]))*exp(conjugate(a[2]+I*b[2])*(conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))+(36*conjugate(a[4]+I*b[4])^2*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta^2/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2-6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta/conjugate(a[1]+I*b[1])-6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))*(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2/beta/(a[1]+I*b[1])+(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1])/conjugate(a[1]+I*b[1])+6*(a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2/beta)*conjugate(a[2]+I*b[2])*exp(conjugate(a[2]+I*b[2])*(conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))+(-(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])-(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(a[1]+I*b[1])+6*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2/beta+6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2/beta+6*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta+6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta)*((-3*(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-2*(-3/2*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)*exp((a[2]+I*b[2])*((a[4]+I*b[4])*y+x)+a[3]+I*b[3]+conjugate(a[2]+I*b[2])*(conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))/((-3*(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-2*(3/2*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)+((-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1])/conjugate(a[1]+I*b[1])-(6*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2/beta+6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2/beta)*(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(a[1]+I*b[1])-(6*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta+6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta)*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])+6*(a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2/beta+36*(a[4]+I*b[4])^2*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta^2/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2+36*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta^2/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2+36*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta^2/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2+36*conjugate(a[4]+I*b[4])^2*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta^2/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2)*((-3*(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-2*(-3/2*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*exp((a[2]+I*b[2])*((a[4]+I*b[4])*y+x)+a[3]+I*b[3]+conjugate(a[2]+I*b[2])*(conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))/((-3*(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-2*(3/2*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2))/((-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1])/conjugate(a[1]+I*b[1])+6*(a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2/beta+(36*(a[4]+I*b[4])^2*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta^2/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2-6*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta/conjugate(a[1]+I*b[1])-6*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))*(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2/beta/(a[1]+I*b[1])+(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1])/conjugate(a[1]+I*b[1])+6*(a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2/beta)*exp((a[2]+I*b[2])*((a[4]+I*b[4])*y+x)+a[3]+I*b[3])+(36*conjugate(a[4]+I*b[4])^2*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta^2/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2-6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta/conjugate(a[1]+I*b[1])-6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))*(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2/beta/(a[1]+I*b[1])+(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1])/conjugate(a[1]+I*b[1])+6*(a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2/beta)*exp(conjugate(a[2]+I*b[2])*(conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))+((-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/(a[1]+I*b[1])/conjugate(a[1]+I*b[1])-(6*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2/beta+6*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2/beta)*(-y*(a[1]+I*b[1])^2-x*(a[1]+I*b[1]))/(a[1]+I*b[1])-(6*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta+6*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta)*(-y*conjugate(a[1]+I*b[1])^2-x*conjugate(a[1]+I*b[1]))/conjugate(a[1]+I*b[1])+6*(a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[1]+I*b[1]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[1]+I*b[1]))^2/beta+36*(a[4]+I*b[4])^2*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta^2/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2+36*conjugate(a[4]+I*b[4])*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(a[4]+I*b[4]+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta^2/(conjugate(a[1]+I*b[1])-a[4]-I*b[4])^2+36*(a[4]+I*b[4])*(a[1]+I*b[1])*(a[4]+I*b[4]+a[1]+I*b[1])*conjugate(a[4]+I*b[4])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-a[4]-I*b[4])^2/beta^2/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2+36*conjugate(a[4]+I*b[4])^2*(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+a[1]+I*b[1])*conjugate(a[1]+I*b[1])*(conjugate(a[4]+I*b[4])+conjugate(a[1]+I*b[1]))/(a[1]+I*b[1]-conjugate(a[4]+I*b[4]))^2/beta^2/(conjugate(a[1]+I*b[1])-conjugate(a[4]+I*b[4]))^2)*((-3*(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-2*(-3/2*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]-conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)*exp((a[2]+I*b[2])*((a[4]+I*b[4])*y+x)+a[3]+I*b[3]+conjugate(a[2]+I*b[2])*(conjugate(a[4]+I*b[4])*y+x)+conjugate(a[3]+I*b[3]))/((-3*(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*(a[4]+I*b[4])^2-2*(3/2*conjugate(a[2]+I*b[2])*(a[2]+I*b[2]+conjugate(a[2]+I*b[2]))*conjugate(a[4]+I*b[4])+beta)*conjugate(a[4]+I*b[4])*(a[4]+I*b[4])+beta*conjugate(a[4]+I*b[4])^2)) to be plotted but found names [beta, a[1], a[2], a[3], a[4], b[1], b[2], b[3], b[4]]

  

How find parameter in this equation ?...

Arya-S-AA 175 Maple 2024
parameters substitution pde
March 02 2025
0 0

i did try but i don't know the result is not come out? also i am not sure to put equation in eq1 in pde or linear part?

> 

restart
> 

with(PDEtools)
> 

with(LinearAlgebra)
> 

NULL
> 

with(SolveTools)
> 

undeclare(prime)

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

 (1)
> 

declare(u(x, y, t))

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

 (2)
> 

declare(f(x, y, t))

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

 (3)
> 

pde := diff(u(x, y, t), t, y)+diff(u(x, y, t), `$`(x, 3), y)-3*(diff(u(x, y, t), x))*(diff(u(x, y, t), x, y))-3*(diff(u(x, y, t), `$`(x, 2)))*(diff(u(x, y, t), y))+alpha*(diff(u(x, y, t), x, y))+beta*(diff(u(x, y, t), `$`(x, 2)))

diff(diff(u(x, y, t), t), y)+diff(diff(diff(diff(u(x, y, t), x), x), x), y)-3*(diff(u(x, y, t), x))*(diff(diff(u(x, y, t), x), y))-3*(diff(diff(u(x, y, t), x), x))*(diff(u(x, y, t), y))+alpha*(diff(diff(u(x, y, t), x), y))+beta*(diff(diff(u(x, y, t), x), x))

 (4)
> 

pde_nonlinear, pde_linear := selectremove(proc (term) options operator, arrow; has((eval(term, u(x, y, t) = a*u(x, y, t)))/a, a) end proc, pde)

-3*(diff(u(x, y, t), x))*(diff(diff(u(x, y, t), x), y))-3*(diff(diff(u(x, y, t), x), x))*(diff(u(x, y, t), y)), diff(diff(u(x, y, t), t), y)+diff(diff(diff(diff(u(x, y, t), x), x), x), y)+alpha*(diff(diff(u(x, y, t), x), y))+beta*(diff(diff(u(x, y, t), x), x))

 (5)
> 

eq := u(x, y, t) = -2*(diff(ln(f(x, y, t)), x))

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

 (6)
> 

eq1 := -(1/2)*numer(normal(eval(pde_linear, eq)))

f(x, y, t)^4*(diff(diff(diff(f(x, y, t), x), x), x))*beta+f(x, y, t)^4*(diff(diff(diff(f(x, y, t), x), x), y))*alpha-f(x, y, t)^3*(diff(f(x, y, t), y))*(diff(diff(f(x, y, t), x), x))*alpha-2*f(x, y, t)^3*(diff(diff(f(x, y, t), x), y))*(diff(f(x, y, t), x))*alpha-3*f(x, y, t)^3*(diff(f(x, y, t), x))*(diff(diff(f(x, y, t), x), x))*beta+2*f(x, y, t)^2*(diff(f(x, y, t), y))*(diff(f(x, y, t), x))^2*alpha+2*f(x, y, t)^2*(diff(f(x, y, t), x))^3*beta+(diff(diff(diff(f(x, y, t), t), x), y))*f(x, y, t)^4+(diff(diff(diff(diff(diff(f(x, y, t), x), x), x), x), y))*f(x, y, t)^4-(diff(diff(f(x, y, t), t), x))*(diff(f(x, y, t), y))*f(x, y, t)^3-(diff(diff(diff(diff(f(x, y, t), x), x), x), x))*(diff(f(x, y, t), y))*f(x, y, t)^3-(diff(diff(f(x, y, t), x), y))*(diff(f(x, y, t), t))*f(x, y, t)^3-4*(diff(diff(diff(f(x, y, t), x), x), x))*(diff(diff(f(x, y, t), x), y))*f(x, y, t)^3-(diff(f(x, y, t), x))*(diff(diff(f(x, y, t), t), y))*f(x, y, t)^3-4*(diff(diff(diff(diff(f(x, y, t), x), x), x), y))*(diff(f(x, y, t), x))*f(x, y, t)^3-6*(diff(diff(f(x, y, t), x), x))*(diff(diff(diff(f(x, y, t), x), x), y))*f(x, y, t)^3+2*(diff(f(x, y, t), x))*(diff(f(x, y, t), t))*(diff(f(x, y, t), y))*f(x, y, t)^2+8*(diff(diff(diff(f(x, y, t), x), x), x))*(diff(f(x, y, t), x))*(diff(f(x, y, t), y))*f(x, y, t)^2+6*(diff(diff(f(x, y, t), x), x))^2*(diff(f(x, y, t), y))*f(x, y, t)^2+24*(diff(diff(f(x, y, t), x), x))*(diff(f(x, y, t), x))*(diff(diff(f(x, y, t), x), y))*f(x, y, t)^2+12*(diff(diff(diff(f(x, y, t), x), x), y))*(diff(f(x, y, t), x))^2*f(x, y, t)^2-36*(diff(diff(f(x, y, t), x), x))*(diff(f(x, y, t), x))^2*(diff(f(x, y, t), y))*f(x, y, t)-24*(diff(f(x, y, t), x))^3*(diff(diff(f(x, y, t), x), y))*f(x, y, t)+24*(diff(f(x, y, t), x))^4*(diff(f(x, y, t), y))

 (7)
> 

NULL
> 

T := f(x, y, t) = h*a[10]+m^2+n^2+a[9]
> 

T1 := m = t*a[3]+x*a[1]+y*a[2]+a[4]
> 

T2 := n = t*a[7]+x*a[5]+y*a[6]+a[8]
> 

T3 := h = a[10]*exp(t*p[3]+x*p[1]+y*p[2])
> 

L2 := expand(subs({T1, T2, T3}, T))

f(x, y, t) = a[10]^2*exp(p[3]*t)*exp(p[1]*x)*exp(p[2]*y)+t^2*a[3]^2+2*t*x*a[1]*a[3]+2*t*y*a[2]*a[3]+x^2*a[1]^2+2*x*y*a[1]*a[2]+y^2*a[2]^2+2*t*a[3]*a[4]+2*x*a[1]*a[4]+2*y*a[2]*a[4]+a[4]^2+t^2*a[7]^2+2*t*x*a[5]*a[7]+2*t*y*a[6]*a[7]+x^2*a[5]^2+2*x*y*a[5]*a[6]+y^2*a[6]^2+2*t*a[7]*a[8]+2*x*a[5]*a[8]+2*y*a[6]*a[8]+a[8]^2+a[9]

 (8)
> 

eq9a := eval(eq1, L2)
> 

indets(%)

{alpha, beta, t, x, y, a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8], a[9], a[10], p[1], p[2], p[3], exp(p[1]*x), exp(p[2]*y), exp(p[3]*t)}

 (9)
> 

p2b := subs({exp(p[1]*x) = eX, exp(p[2]*y) = eY, exp(p[3]*t) = eT}, eq9a); indets(%)

{alpha, beta, eT, eX, eY, t, x, y, a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8], a[9], a[10], p[1], p[2], p[3]}

 (10)
> 

p2c := numer(normal(p2b))
> 

eqns := {coeffs(collect(p2c, {eT, eX, eY}, distributed), {eT, eX, eY})}; nops(%)

5

 (11)
> 

solve(eqns, {a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8], a[9], a[10], p[1], p[2], p[3]})
 

NULL

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How add lebel into inside graph ...

Arya-S-AA 175 Maple 2024
contourplot textplot plotting
February 27 2025
1 18

How i can add lebel inside graph  like this picture for some graph , in somecoding i have but i can't how it work i want add to  my code but i can't do the same as paper did

label.mw

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