How do solve ?

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- July 6th 2010, 06:26 PMmath2009Sample ODE question
How do solve ?

- July 6th 2010, 07:52 PMmr fantastic
Why? Click on this: solve dy/dx + y^2 + 2x = 0 - Wolfram|Alpha

- July 6th 2010, 08:50 PMmath2009
Please check my solution, I doubt there are something wrongs in Attachment 18118

- July 6th 2010, 11:06 PMmr fantastic
Your method is wrong and your solution is wrong (did you even bother to check the solution by substituting it into the original DE?)

Although satisfies , it is also required to satisfy and it doesn't. Similarly, the other part of your 'solution' has to satisfy both and .... - July 6th 2010, 11:48 PMmath2009
I also thought so before.

If a,b are variable but not constants, how about ? - July 7th 2010, 12:11 AMmr fantastic
- July 7th 2010, 12:33 AMmath2009
My opinion is :

If equation#1 's solution is and equation#2 's is , then must fit both equations, is it right ?

And F(x, a, b) = 0 , it may simply solution - July 7th 2010, 05:56 AMmr fantastic
- July 8th 2010, 10:48 PMmath2009
mr fantastic , at first , thank you for discussion

please ignore this post.

There are two cases in this issue.

Case #1(constant) , as above mention, that's wrong.

Case #2(variables) , is there any proof ?