Consider the initial value problemx = Ax + g(t), x(0) = x0.(a) By referring to 15(c) in
Chapter 7, Problem 17(choose chapter or problem)
Consider the initial value problemx = Ax + g(t), x(0) = x0.(a) By referring to 15(c) in Section 7.7, show thatx = (t)x0 + t (t s)g (s) ds(b) Show also thatx = exp(At)x0 + t0exp[A(t s)]g(s) ds.Compare these results with those of in Section 3.6.
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