Solution 1 to problem N1t10s12f2
Expressions |
Parameters |
Inequalities |
Relevance |
Back to problem N1t10s12f2
Expressions
The solution is given through the following expressions:
q9=0
q7=0
q6=0
q5=0
q4=0
q3=0
q2=0
q1=0
p6=0
p4=0
p3=0
p2=0
p1=0
Parameters
Apart from the condition that they must not vanish to give
a non-trivial solution and a non-singular solution with
non-vanishing denominators, the following parameters are free:
q8, p5
Inequalities
In the following not identically vanishing expressions are shown.
Any auxiliary variables g00?? are used to express that at least
one of their coefficients must not vanish, e.g. g0019*p4 + g0020*p3
means that either p4 or p3 or both are non-vanishing.
{p5,g0005*q8 + g0013*p5,q8}
Relevance for the application:
The equation:
f =f *f *f*p5
t 2x x
The symmetry:
f =f *f *f*q8
s 3x x
And now in machine readable form:
The system:
df(f(1),t)=df(f(1),x,2)*df(f(1),x)*f(1)*p5$
The symmetry:
df(f(1),s)=df(f(1),x,3)*df(f(1),x)*f(1)*q8$