Thread: Help 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

Originally Posted by boredaxel

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

Here you want to intoduce new variables

such that your new equation becomes

(homogeneous).

So find that makes this work.

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.

Originally Posted by boredaxel

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.

You were told the type of DE it is .... To make it more explicit, your DE can be written as:

.

It should be clear what to do now. A similar problem is here: http://www.mathhelpforum.com/math-he...eneous-de.html

!! Thanks for all the help. I understand what to do now.