[PDF] 25 Ordinary Differential Equations: Systems of Equations



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8CHAPTER 2 FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS Theorem 2 4 If F and G are functions that are continuously differentiable throughout a simply connected region, then F dx+Gdy is exact if and only if ∂G/∂x = ∂F/∂y Proof Proof is given in MATB42 Example 2 5 Consider 222 2 22 +,,,



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