Explicitly find the maximal intervalIabout 0 on which we can solve the following differential equation:

http://dammserv.loopback.nu/latex/im...725_qsynlw.png

I'm not sure how to approach. I know that if it was

http://dammserv.loopback.nu/latex/im...725_C1Exva.png

then I can divide both sides and integrate and get

http://dammserv.loopback.nu/latex/im...725_31YfNH.png, but there's a square term.

Thank you.