Reduction to first order

Nov 2009
169
2
How do I reduce this ODE into a system of 2 variables of first oder?

\(\displaystyle y'' + (2y^2+3y'^2-1)y' + y = 0\)
 
Mar 2010
280
122
Please try this

\(\displaystyle u=y'\)

\(\displaystyle v=y\)