Recent content by Abelian_Math

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    Graduate Solving Differential Equations: Sinh & Cosh Maclaurin Series

    1. Let c be a positive number, and let A > 0 represent the initial value of a population. a) Show that the function p(t) = (A^(-c) - ct)^(-1/c) satisfies the differential equation p'(t) = (p(t))^(1+c) b) What happens to p(t) as t > (A^(-c)/c) from the left? 2. Find the Maclaurin series...
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    Graduate Prove: n ≡ 3 (mod 4) Cannot be Sum of Two Squares

    Prove that if n\equiv3 (mod 4), then n cannot be represented as a sum of two squares.