My Math Forum  

Go Back   My Math Forum > College Math Forum > Differential Equations

Differential Equations Ordinary and Partial Differential Equations Math Forum


Reply
 
LinkBack Thread Tools Display Modes
July 18th, 2013, 10:11 AM   #11
Senior Member
 
Joined: Sep 2012

Posts: 112
Thanks: 0

Re: 2 exact differential equation

Thank you so much Mark! My Q.1 has been solved too.
helloprajna is offline  
 
July 19th, 2013, 10:53 AM   #12
Senior Member
 
MarkFL's Avatar
 
Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,211
Thanks: 520

Math Focus: Calculus/ODEs
Re: 2 exact differential equation

Another method, cleverly suggested here, is to begin with:



Now, switching to polar coordinates, we then eventually get:



Integrating, we obtain:



Back substituting for and , we get:



Using the identity:



we see this is equivalent to the result I gave before.
MarkFL is offline  
July 19th, 2013, 09:21 PM   #13
Senior Member
 
Joined: Sep 2012

Posts: 112
Thanks: 0

Re: 2 exact differential equation

Thank you so much! To me the earlier solution is easier.
helloprajna is offline  
Reply

  My Math Forum > College Math Forum > Differential Equations

Tags
differential, equation, exact



Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
First-Order, Exact and Linear Differential Equations summsies Differential Equations 2 July 24th, 2013 05:24 PM
Exact differential equation Survivornic Differential Equations 3 October 1st, 2012 07:02 PM
Non-Exact Differential equation Survivornic Differential Equations 2 September 30th, 2012 02:40 PM
Exact form, differential equations jakeward123 Differential Equations 23 March 10th, 2011 02:17 PM
perimeter of an ellipse -- exact equation realritybugll Algebra 1 June 9th, 2009 07:15 AM





Copyright © 2019 My Math Forum. All rights reserved.