# Reduction to first order

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• May 18th 2010, 07:53 AM
EinStone
Reduction to first order
How do I reduce this ODE into a system of 2 variables of first oder?

$y'' + (2y^2+3y'^2-1)y' + y = 0$
• May 18th 2010, 11:21 AM
zzzoak
Please try this

$u=y'$

$v=y$