How to go about solving this differential equation? I tried substitution and could not get any meaningful form of it.

x + y + 1 + (−x + y − 3)y' = 0

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- Jan 23rd 2009, 09:46 AMboredaxelHelp with a Differential Equation
How to go about solving this differential equation? I tried substitution and could not get any meaningful form of it.

x + y + 1 + (−x + y − 3)y' = 0 - Jan 23rd 2009, 09:50 AMJester
- Jan 24th 2009, 01:54 AMboredaxel
Pardon me but I still cant see how I can solve the homogeneous DE. I cant find a way to separate the variables u and v.

- Jan 24th 2009, 03:36 AMmr fantastic
You were told the type of DE it is .... To make it more explicit, your DE can be written as:

$\displaystyle \frac{dv}{du} = \frac{u + v}{u - v} = \frac{1 + \frac{v}{u}}{1 - \frac{v}{u}}$.

It should be clear what to do now. A similar problem is here: http://www.mathhelpforum.com/math-he...eneous-de.html - Jan 24th 2009, 05:57 AMboredaxel
(Surprised) !! Thanks for all the help. I understand what to do now.