I would like to resolve this differential equation:
any suggestions (or any online texts on similar differential equation) please? Thanks.
Although the recognition of EqWorld is quite well, it still behaves outdated about Abel equation of the second kind.
The following information is really updated indeed:
$xx'-x=f(t)$ itself belongs to an Abel equation of the second kind in the canonical form.
In fact, all Abel equation of the second kind can be transformed into Abel equation of the first kind.
Please follow the method in http://www.hindawi.com/journals/ijmms/2011/387429/#sec2