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

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- Jan 16th 2009, 12:27 PMmbbx5va2Please help! ODE question
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

- Jan 16th 2009, 12:35 PMMush
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 PMmbbx5va2
Sorry yes your right about the notation - i made a mistake. Thanks for the help i've managed to solve it.