Hi, i need to know how to solve this ODE. Please see the attachment. The solution is 2logx but i don't know to get it. Any help would be much appreciated. thanks

Results 1 to 3 of 3

- Jan 16th 2009, 12:27 PM #1

- Joined
- Mar 2008
- Posts
- 26

- Jan 16th 2009, 12:35 PM #2

- Joined
- Dec 2008
- From
- Scotland
- Posts
- 901

Let . This should reduce it to a 1st order ODE of the form:

Which can be written:

You can solve this for using an integrating factor! Giving a solution of the form:

Then remember that:

Also, can I ask why you used instead of if it's an ODE? is reserved for PDEs, or Partial Differential Equations... ie... Differential Equations of functions of more than 1 variable.

- Jan 16th 2009, 02:42 PM #3

- Joined
- Mar 2008
- Posts
- 26