User:GFauxPas/Sandbox

Welcome to my sandbox, you are free to play here as long as you don't track sand onto the main wiki. --GFauxPas 09:28, 7 November 2011 (CST)

User:GFauxPas/Sandbox/Zeta2/lnxln1-x/existence

User:GFauxPas/Sandbox/Zeta2/lnxln1-x/integrand

User:GFauxPas/Sandbox/Zeta2/lnxln1-x/evaluation

DiffEQ Ongoing Project
Objective: To analyze different characterizations of $\zeta(2)$.

Definition
Let:


 * $a y + b y' + c y = f\left({ x,y,y',y}\right)$

be a second order linear ODE.

The characteristic equation of this ODE is:


 * $ar^2 + br + c = 0$

where $r$ satisfies $y = e^{rx}$.

--GFauxPas (talk) 14:49, 3 April 2014 (UTC)