
Differential Equations Ordinary and Partial Differential Equations Math Forum 
 LinkBack  Thread Tools  Display Modes 
March 21st, 2018, 08:21 AM  #1 
Senior Member Joined: Dec 2015 From: Earth Posts: 227 Thanks: 26  Nonorder DE
$\displaystyle Y'' e^{Y''}=x$

March 21st, 2018, 08:41 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 1,977 Thanks: 1026 
crazily enough it has a closed form answer $y(x)=c_2 x+c_1+\dfrac{x^2 \left(4 W(x)^36 W(x)^2+6 W(x)+1\right)}{8 W(x)^2}$ where $W(x)$ is Lambert's $W$ function Where do you come up with these questions? 

Tags 
nonorder 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Rewriting second order to 1st order diff eqn  Don96  Differential Equations  4  April 22nd, 2016 07:14 PM 
Reduction of 2nd order PDE to a first order equations system  math2016  Differential Equations  2  October 2nd, 2015 08:04 AM 
Proof that group of order 2k containts order k subgroup  Kappie  Abstract Algebra  0  April 22nd, 2012 01:52 PM 
Reduction of second order ode to first order  Grayham1990  Calculus  2  March 30th, 2012 06:24 AM 
Transform 2nd order ODE to two 1st order ODE using matrices  Norm850  Calculus  2  March 7th, 2012 04:08 PM 