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Question: How remove this sign Root0f- even use allvalues is not remove?

Question:How remove this sign Root0f- even use allvalues is not remove?

Math-dashti 95 Maple 2024
solve implicit allvalues
June 27 2025
1

what is problem in here

> 

restart;
> 

with(plots):
> 

with(LinearAlgebra):
> 

with(DEtools):

diff(u(x), x) = f(u(x), v(x)), diff(v(x), x) = g(u(x), v(x)) for the two differential equations.

> 

f := (u,v) -> u+cos(v);
g := (u,v) -> u*v-v+sin(v);

proc (u, v) options operator, arrow; u+cos(v) end proc

  

proc (u, v) options operator, arrow; v*u-v+sin(v) end proc

 (1)

The equilibria:

> 

equilibria := solve({f(u,v)=0, g(u,v)=0}, {u,v},explicit);

{u = 1, v = Pi}, {u = -cos(RootOf(sin(_Z)*_Z^2+sin(_Z)-2*_Z)), v = RootOf(sin(_Z)*_Z^2+sin(_Z)-2*_Z)}

 (2)
> 

allvalues(RootOf(sin(_Z)*_Z^2+sin(_Z)-2*_Z))

RootOf(sin(_Z)*_Z^2+sin(_Z)-2*_Z, 1.306542374), RootOf(sin(_Z)*_Z^2+sin(_Z)-2*_Z, -1.306542374), RootOf(sin(_Z)*_Z^2+sin(_Z)-2*_Z, -2.331122370), RootOf(sin(_Z)*_Z^2+sin(_Z)-2*_Z, 2.331122370), 0

 (3)
 

NULL

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