Solution 2 to problem N1f1b0o23w1
Expressions |
Parameters |
Inequalities |
Relevance |
Back to problem N1f1b0o23w1
Expressions
The solution is given through the following expressions:
q7=0
q6=0
q5=0
q3=0
q1=0
p4=0
p2=0
2*p1*q4
p3=---------
q2
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:
q2, q4, p1
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.
{g0015*p3 + 2*g0017*p1,g0020*p3 + g0022*p1}
Relevance for the application:
The equation:
Df *f*p1*q2 + 2*Df*f *p1*q4
x x
f =-----------------------------
t q2
The symmetry:
2
f =Df *Df*f*q2 + (Df) *f *q4
s x x
And now in machine readable form:
The equation:
df(f(1),t)=(d(1,df(f(1),x))*f(1)*p1*q2 + 2*d(1,f(1))*df(f(1),x)*p1*q4)/q2$
The symmetry:
df(f(1),s)=d(1,df(f(1),x))*d(1,f(1))*f(1)*q2 + d(1,f(1))**2*df(f(1),x)*q4$