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$