Solution 1 to problem N1t6s10f1


Expressions | Parameters | Inequalities | Relevance | Back to problem N1t6s10f1

Expressions

The solution is given through the following expressions:

q21=0


q20=0


q19=0


q18=0


q17=0


q16=0


q15=0


q14=0


q12=0


q11=0


q10=0


q9=0


q8=0


q7=0


q6=0


q5=0


q4=0


q3=0


q2=0


q1=0


p7=0


p6=0


p5=0


p4=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:
 q13, p3

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.
 
{p3,q13,g0012*q13 + g0028*p3}


Relevance for the application:



The equation: 


       3
f =(Df) *f*p3
 t
The symmetry:
f =Df*f  *f *f*q13
 s     2x  x
And now in machine readable form:

The system:

df(f(1),t)=d(1,f(1))**3*f(1)*p3$
The symmetry:
df(f(1),s)=d(1,f(1))*df(f(1),x,2)*df(f(1),x)*f(1)*q13$