1. The problem statement, all variables and given/known data Hi, I dont really understand separation of variables very well, and I was hoping to do get my mind more clear on the following question: (Q) Use separation of variables to find all the separable solutions of the equation: d²y/dt² -c²(d²y/dx²) + w²y = 0 where 'w' and c are constants. 3. The attempt at a solution I first started by saying the solution to this equation can be written as: y = X(x)T(t) so: X(d²T/dt²) - c²(d²X/dx²)T + w²XT divide through by XT we get: (1/T)d²T/dt² -(c²/X)(d²X/dx²) + w² = 0 What would be the next step? How can I find a solution from here?