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Calculus and Beyond Homework Help
Properties of Solutions of Matrix ODEs
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[QUOTE="Ray Vickson, post: 5711707, member: 330118"] My guess for (iii): the formula given might not be a solution if ##A(s_1)## and ##A(s_2)## do not commute when ##s_1 \neq s_2##, and the formula [B]might be[/B] a solution when they do commute for all ##0 \leq s_2 < s_2 \leq t##. Certainly, the matrices ## t A## for constant matrix ##A## and different values of ##t## do commute; and we can verify by direct differentiation that ##F(t) = \exp(t A)## solves ##F' = F A = A F##. [/QUOTE]
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Properties of Solutions of Matrix ODEs
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