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December 6th, 2017, 05:02 PM  #1 
Newbie Joined: Dec 2017 From: Malaysia Posts: 1 Thanks: 0  Need help for this expression
$\displaystyle y''+(3x^21/x)y'=A/x$ Any method can be used to solve this equation? Thanks a lot. 
December 6th, 2017, 05:15 PM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,600 Thanks: 546 Math Focus: Yet to find out.  
December 6th, 2017, 05:38 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 19,168 Thanks: 1640 
Use $\displaystyle \frac{e^{\Large x^{\Large3}}}{x}$ as an integrating factor.

December 13th, 2017, 04:37 AM  #4 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,240 Thanks: 884 
Do you mean $\displaystyle 3x^2 1/x$ (what you wrote) or $\displaystyle (3x^2 1)/x$?

December 13th, 2017, 05:15 AM  #5 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,328 Thanks: 2452 Math Focus: Mainly analysis and algebra 
Reduce the order by writing $v=y'$.


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