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Preface To The Third Edition This New Edition Remains In Step With The Goals Of Earlier Editions, Namely, To Offer A Concise Treatment Of Basic Topics Covered In A Post-calculus Differ-ential Equations Course. It Is Written For Students In Engineering, Biosciences, Physics, Economics, And Mathematics. As Such, The Text Is Strongly Guided By Feb 15th, 2024

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25. Ordinary Differential Equations: Systems Of Equations
ORDINARY DIFFERENTIAL EQUATIONS: SYSTEMS OF EQUATIONS 5 25.4 Vector Fields A Vector field On Rm Is A Mapping F: Rm → Rm That Assigns A Vector In Rm To Any Point In Rm. If A Is An M× Mmatrix, We Can Define A Vector field On Rm By F(x) = Ax. Many Other Vector fields Are Possible, Such As F(x) = X2 Apr 17th, 2024

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