Page 273 - Schaum's Outline of Differential Equations
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256 SOLUTIONS BY MATRIX METHODS [CHAP. 26
26.2. Solve x + 2x-8x = e'; x(0) = 1, i(0) = -4.
From Problem 17.1, this initial-value problem is equivalent to Eq. (26.1) with
and t 0 = 0. The solution is given by either Eq. (26.2) or (26.3). Here, we use (26.2); the solution using (26.3) is found
A(
in Problem 26.3. For this A, e has already been calculated in Problem 16.2. Therefore,
Thus,
and
26.3. Use Eq. (26.3) to solve the initial-value problem of problem 26.2.
}
The vector e A<I '° c remains Furthermore,
