My Math Forum  

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

Differential Equations Ordinary and Partial Differential Equations Math Forum

LinkBack Thread Tools Display Modes
November 11th, 2011, 12:24 AM   #1
Joined: Nov 2011

Posts: 4
Thanks: 0

Differential equation simplification

Hi. Just need some help understanding how my tutor simplified a differential equation and what laws he used to get his answer.
The question is: e^(y/x)y'=2(e^(y/x)-1)+(y/x)e^(y/x) - use the substitution y=xv(x) to solve this.

I can post my whole working if you need to see it but basically both mine and the tutors answers simplify to this point
Now i would simplify this to e^v-1=x^2+e^c but I am clearly doing something wrong because my tutor gets
ln|e^v-1|=x^2*e^c which then somehow simplifies to cx^2
some basic law seems to be hovering just out of reach. Would appreciate an explanation.

Smeg is offline  
November 11th, 2011, 03:19 AM   #2
Joined: Oct 2011

Posts: 26
Thanks: 0

Re: Differential equation simplification

where is a constant
newguy123 is offline  
November 12th, 2011, 08:25 PM   #3
Global Moderator
Joined: Dec 2006

Posts: 21,105
Thanks: 2324

If y is defined for all real x,  where the constants A and B are non-negative.

I'll leave you to specify the domain if the constants are not both non-negative.
skipjack is offline  

  My Math Forum > College Math Forum > Differential Equations

differential, equation, simplification

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Sin Wave Equation Simplification? TastyLemons Linear Algebra 0 February 2nd, 2014 10:54 PM
Show that an equation satisfies a differential equation PhizKid Differential Equations 0 February 24th, 2013 11:30 AM
Differential Equation mathbalarka Differential Equations 2 January 2nd, 2013 01:01 AM
Differential equation II Vasily Differential Equations 10 April 9th, 2012 07:06 AM
Simplification of an Equation MathForFun Advanced Statistics 1 September 1st, 2009 11:05 PM

Copyright © 2019 My Math Forum. All rights reserved.