If all variables other than (y) are known, then let's write some notes here:
1) Try to first define the variables, namely: kw, lo, rc, v, and b. This might ease up the syms solution a lot.
2) Reduce the number of symbols used, since there are few terms that can be replaced with constants as: (v^2-1), ln(-(b-lo)/b), 1/(lo*(b-lo)).
3) use the function pretty to show your equation (eq) more clearly - check it with what you originally want to solve, and apologies for the large space it'll take, so:
pretty(eq)
/ 2 2 2 \
| (v - 1) (rc - y ) |
- kw - y (lo - y) | v + ------------------- - 1 |
| 2 2 |
\ rc + y /
/ / b - lo \ / lo - y \ \
| ln| - ------ | ln| ------ | |
| 1 1 \ b / \ y / |
| ----------- + ----------- + -------------- - ------------ |
| lo (b - lo) lo (lo - y) 2 2 |
\ lo lo /
and this looks like:
eq = F(y)*G(y)-kw = 0
a special case when kw = 0, then
F(y)*G(y) = H(y) = 0
in such case, solutions of either
F(y) = 0 or
G(y) = 0
are also, solutions of H(y).
I've honestly tried to solve it with some numeric assumptions (to achieve #1 above), and it took a long time.. so I thought to pass my ideas here since they might help you, or others willing to help.. :)
