Page 276 - Schaum's Outline of Differential Equations

CHAP. 26] SOLUTIONS BY MATRIX METHODS 259

We have from Problem 16.6 that

Then using Eq. (26.6), we calculate

Thus

where k$ = k\ — 2fc 2 + k 3, k s = 2k 2 — k 3, and k 6 = — k 2 + k 3.

26.7. Solve the system

rhis initial-value problem is equivalent to Eq. (26.1) with

and t 0 = 0. (See Problem 17.8.) For this A, we have from Problem 16.7 that

Then, using Eq. (26.3), we calculate