Consider the initial value problem x _ = Ax + g(t), x(0) = x0. a. By referring to in
Chapter 7, Problem 16(choose chapter or problem)
Consider the initial value problem x _ = Ax + g(t), x(0) = x0. a. By referring to in Section 7.7, show that x = (t)x0 + _ t 0 (t s)g(s)ds. b. Show also that x = exp(At)x0 + _ t 0 exp(A(t s))g(s)ds. Compare these results with those of in Section 3.6. 1
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