Solution 1 to problem l21o23
Expressions |
Parameters |
Relevance |
Back to problem l21o23
Expressions
The solution is given through the following expressions:
1
- ---*a5*b2
2
b12=--------------
a8
1
- ---*a5*b2
2
b11=--------------
a8
b10=b2
1
b9=---*b2
2
2
---*a7*b2
3
b8=-----------
a8
1 2
- ---*a5 *b2
2
b7=---------------
2
a8
b6=0
b5=0
1
---*a5*a7*b2
2
b4=--------------
2
a8
1
- ---*a5*a7*b2
2
b3=-----------------
2
a8
1
---*a7*b2
6
b1=-----------
a8
1
a9= - ---*a5
2
1 2
- ---*a5
2
a6=------------
a8
a5*a7
a4=-------
a8
a3=0
a2=0
a1=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:
b2,a5,a7,a8
Relevance for the application:
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1 2 2
f(v,v )*a5*a7 - ---*f(v,v) *a5 + f(v,v)*a5*a8*u
2x 2
u = ---------------------------------------------------
t a8
1
v = v *a7 - ---*f(v,v)*a5*v + a8*u*v
t 2x 2
1 2 1
u = (---*u *a7*a8*b2 + u *a8 *b2*u - ---*f(v ,v )*a5*a7*b2
s 6 3x x 2 x 2x
1 1 2 2
+ ---*f(v,v )*a5*a7*b2 - ---*f(v,v )*f(v,v)*a5 *b2)/a8
2 3x 2 x
1 2 1
v = (---*u *a8*b2*v + ---*v *a7*b2 - ---*v *f(v,v)*a5*b2 + v *a8*b2*u
s 2 x 3 3x 2 x x
1
- ---*f(v,v )*a5*b2*v)/a8
2 x