You wrote the equations in Latex in one form, then in the Mathematica code you used different symbols. little confusing.
Let me write your equations, and instead of using -v
, just use v
since it is the same. And used lowerCaseLetters. Since C
is actually a Mathematica symbol. Not a good idea to use UpperCase first letter in Mathematica.
So your equations are basically these
eq = {v == c1*Sinh[c2], v == Sinh[-s q + c2]}
To use Reduce
Reduce[eq, {c1, c2}, Reals]
And to obtain a solution with no warnings
Solve[eq, {c1, c2}, Reals]