One has to be careful with those results. You get examples such as this, which don’t count:

The solution for Jake is always the same, i.e. he gets pissed!

For Jake, the solution is always the same, i.e. he gets pissed!

There, there is an ellipted “to the problem” between solution and for, IMO.

Here are a few of the examples I was focusing on:

“Thus the solution for the two-cylinder problem is provided by the solution for the two-line-source problem having the same amount of charge per unit length.”

Lectures on electromagnetic theory. Solymar, L. Oxford: OUP

“The extent of inequality depends on the variation in N and, magnified by the serial correlation induced by al in the former case, but moderated by the term. The solution for the general case follows the same approach, and is left as an exercise.”

Lectures on public economics. Stiglitz, Joseph E and Atkinson, Anthony B. Maidenhead: McGraw-Hill Book Company

‘The Russians refer to “buka”, the Welsh “barog” means spiteful, while the Scots usher forward “boggle-bos”, “bucca-bos”, “bodachs” and “bugbears” as the solution for misbehaviour in very small children, especially if they refuse to go to sleep when they should.’

Myths, gods and fantasy: a sourcebook. Allardice, Pamela. Bridport, Dorset: Prism Press