>
>
> >>>betahat = loglik.diff(beta).solve(beta)
>
>
>
solve is a function, not a method. Sum doesn't (apparently) have a method 
to pull out terms that are independent of the summation symbol so you have 
to do that by hand: get beta on the outside of the Sum. Then solve for 
beta. The following is not robust, but exemplifies what I am talking about:

```
>>> id = lambda f,l,i: f.as_independent(l[0])[i]
>>> eq.replace(Sum,lambda f,l:id(f,l,0)*Sum(id(f,l,1), l))
-alpha*Sum(X[k], (k, 1, n))/sigma2 - beta*Sum(X[k]**2, (k, 1, n))/sigma2 + 
Sum(X
[k]*Y[k], (k, 1, n))/sigma2
>>> solve(_, beta)
[(-alpha*Sum(X[k], (k, 1, n)) + Sum(X[k]*Y[k], (k, 1, n)))/Sum(X[k]**2, (k, 
1, n))]
```

solve (or some method) should be able to pull independent symbols out of 
the summation.

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