My Math Forum Non-order DE

 Differential Equations Ordinary and Partial Differential Equations Math Forum

 March 21st, 2018, 09:21 AM #1 Senior Member   Joined: Dec 2015 From: Earth Posts: 277 Thanks: 32 Non-order DE $\displaystyle Y'' e^{Y''}=x$
 March 21st, 2018, 09:41 AM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,203 Thanks: 1157 crazily enough it has a closed form answer $y(x)=c_2 x+c_1+\dfrac{x^2 \left(4 W(x)^3-6 W(x)^2+6 W(x)+1\right)}{8 W(x)^2}$ where $W(x)$ is Lambert's $W$ function Where do you come up with these questions? Thanks from topsquark and Country Boy

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