Need help with solving this question i have no idea how to even start so any help would be appreciated thanks

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- Jan 21st 2010, 03:50 AMkaboose786Singular Points
Need help with solving this question i have no idea how to even start so any help would be appreciated thanks

http://i47.tinypic.com/2rw3w1y.jpg - Jan 21st 2010, 04:51 AMshawsend
Why not just start by solving the DE:

via integrating factor and obtain the two solutions. What can you say about either solution at x=0? - Jan 21st 2010, 11:20 AMkaboose786
- Jan 22nd 2010, 04:34 AMshawsend
Ok, then here's how I'd do (A):

and dividing by :

for which the integrating factor is so we have:

which the left side is the differential of so:

or:

and if then I can let and obtain the solution . However, if say for example, then I'd obtain which has no solution.

Ok, so I'm a little uneasy about dividing through by in the first step since this is valid if then obtain the solution and solve it for .