I haven't had Diff Eq, and in my notes for an unrelated class, part of a way to solve a solution was with the following diff eq.
(d^2)x/d(t^2) + a^2 * x = 0 | a=constant; t=0; dx/dt = 0
I really don't know what to do.
Any help is greatly appreciated.
The solution to the characteristic equation is .
So it follows that the general solution to the equation is
Are you sure there isn't another initial condition? Since its a second order equation, there should be one more initial condition.