The initial data gives and so .
(Note that .) The characteristic equation has roots (approximately) and so the general solution is . The initial data determines and .
where and you don't care about . Let denote the amplitude at t=0. The amplitude (or pseudo-amplitude) at time t=60 is them and the data gives you the equation
or
© 1996 by Will Brother. All rights Reserved. File last modified on April 25, 1996.