Page 274 - Schaum's Outline of Differential Equations
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CHAP. 26] SOLUTIONS BY MATRIX METHODS 257
Thus,
as before.
26.4. Solve x + x = 3; x(n) = 1, x(n) = 2.
From Problem 17.3, this initial-value problem is equivalent to Eq. (26.1) with
t
and Q = n. Then, using Eq. (26.3) and the results of Problem 16.3, we find that
Thus,
and x(t) = xM) = 3 - 2 cos (t - n) + 2 sin (t - n).
Noting that cos (t - n) = -cos t and sin (t - n) = -sin t, we also obtain
