Solution 1 to problem N1t2s5f2


Expressions | Parameters | Inequalities | Relevance | Back to problem N1t2s5f2

Expressions

The solution is given through the following expressions:



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, q1, 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.
 
{g0005*q2 + g0006*q1,p1}


Relevance for the application:



The equation: 


f =f *p1
 t  x
The symmetry:
f =Df *f*q1 + Df*f *q2
 s   x            x
And now in machine readable form:

The system:

df(f(1),t)=df(f(1),x)*p1$
The symmetry:
df(f(1),s)=d(1,df(f(1),x))*f(1)*q1 + d(1,f(1))*df(f(1),x)*q2$