Solution 1 to problem l2313o23
Expressions |
Parameters |
Relevance |
Back to problem l2313o23
Expressions
The solution is given through the following expressions:
a12*a3*b1
b22=-----------
2
a1
b21=0
b20=0
b19=0
a12*b1
b18=--------
a1
b17=0
b16=0
b15=0
b14=0
b13=0
b12=0
2
- a12*a3 *b1
b11=---------------
3
a1
b10=0
- a12*a3*b1
b9=--------------
2
a1
b8=0
b7=0
b6=0
b5=0
a3*b1
b4=-------
a1
3*a3*b1
b3=---------
a1
b2=0
1
---*a12*a3
2
a13=------------
a1
a11=0
a10=0
a9=0
1 2
- ---*a12*a3
2
a8=----------------
2
a1
- a12*a3
a7=-----------
a1
a6=0
a5=0
a4=a3
a2=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:
b1,a3,a12,a1
Relevance for the application:
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3 2 2 1 4 2
df(u,t)=(u *a1 + f(v ,v )*a1 *a3 + f(v,v )*a1 *a3 - ---*f(v,v) *a12*a3
2x x x 2x 2
3 2
- f(v,v) *a1*a12*a3*u)/a1
1 3 2
---*f(v,v) *a12*a3*v + f(v,v) *a1*a12*u*v
2
df(v,t)=-------------------------------------------
a1
3 3 2
df(u,s)=(u *a1 *b1 - u *f(v,v) *a1*a12*a3*b1 + 3*f(v ,v )*a1 *a3*b1
3x x x 2x
2 3 2 3
+ f(v,v )*a1 *a3*b1 - f(v,v )*f(v,v) *a12*a3 *b1)/a1
3x x
2 2
u *f(v,v) *a1*a12*b1*v + f(v,v )*f(v,v) *a12*a3*b1*v
x x
df(v,s)=------------------------------------------------------
2
a1