Y'' e^{Y''}=x

romsek Math Team Sep 2015 2,964 1,674 USA Mar 21, 2018 #2 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? Reactions: 2 people

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?