Page 275 - Schaum's Outline of Differential Equations

258 SOLUTIONS BY MATRIX METHODS [CHAP. 26

26.5. Solve the differential equation x -6x + 9x = t.
This differential equation is equivalent to the standard matrix differential equation with

(See Problem 17.4). It follows from Problem 16.4 that

Then, using Eq. (26.5), we obtain

and

Thus,

where k 3 = —3ki + k 2.

26.6. Solve the differential equation

Using the results of Problem 17.5, we reduce this homogeneous differential equation to the matrix equation
x(0 = Ax(0 with