Im studying the wave equation with Neumann boundary conditions, and got stuck at the following. can anyone help out?
i have the following equation:
T''(t) = lambda * (c^2)*T(t)
where lamba = - (n*pi*c/l)^2
i want to see how :
T''(t) = lambda * (c^2)*T(t) reduces to...
T(t) = Asin(lambda*t) + Bcos (lamdba*t)
where did the sin and cos come from? is this solved by separation of variables?i tried every way but cant understand.
thanks for reading.