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Proofs Homework Set 1 MATH 217 — WINTER 11 Due January 12 Logical Connectives Every mathematical statement is either true or false Starting from given mathematical statements, we can use logical operations to form new mathematical statements.

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Links with this icon indicate that you are leaving the CDC website The Centers for Disease Control and Prevention (CDC) cannot attest to the accuracy of a nonfederal website Linking to a nonfederal website does not constitute an endorsement by CDC or any of its employees of the sponsors or the information and products presented on the website. The solution looks like y= y c y p where y c is the complementary solution to the homogeneous DE ay00 by0 cy= 0 and y p is the particular solution To nd the particular solution using the Method of Undetermined Coe cients, we rst make a \guess" as to the. " w 2 3 (c > ', 4 1 (/ d 9 5, m % n 7?.

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122 Behavior of the Solutions 179 Example 126 Find the solution y y x of y 2y 5y 0, with the initial values y 0 2 y 0 1 The auxiliary equation r2 2r 5 0 has the solutions r. Y x M Y V w O T N S M R O Q P M N O M L Y V S S U X W O V Q U bedok. 18 E X P A N S IO N O F A N A L Y T IC F U N C T IO N S w h ere k /2 is the g reatest in teg er < k /2 B A n altern ativ e fo rm for ex p ressin g th e polynom i.

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