where and are constants, and ,
DETAILS AND ASSUMPTIONS:
and represent the multiplicities of periods of solutions. Ex: If , then .
and encompass all integers. So would go: .
Notice that in the presented form of solutions, constants like and are uniquely determined. While as would not factor out nicely with and ... etc.
If any constant turns out to be 0 (one of them does), please treat it as 1. I've just noticed this, so if anyone entered 3, you're right. Sorry about that!
Please enter the solution expansion points based on the domain of the principal value of the relevant trigonometric function (defined by the range of its inverse function). For example, for , (the principal range of is ).
[HINT: all constants .]