By considering appropriate series expansions, prove that ez · e²²/2 . e²³/3 . ... = 1 + x + x² + · ·. when <1.

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Q: 2.- Solve the following Homogeneous Differential Equation (xy + 3y²+x²)dx − (x² + 2xy)dy = 0 -

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Q: a 5. Let 1 Ja,b € Z3} a. 0 Show that H is an Abelian group of order 9. b. Is H isomorphic to Z, or…

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Q: 0 Let A = Use mathematical induction to show that An == [ 10 n 1 for all n≥1

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