G

#### Guest

##### Guest

Code:

`S(t)=-diff(G(t),t)/G(t)+diff(S(t),t)*S(t)/(c^2-S(t)^2)`

While playing around with Maple 10, the "odeadvisor" of DEtools suggested that this was "Abel's ODE of the Second Kind, Class C". The help file further suggested a transformation of this type to an "Abel's ODE of the First Kind", but I am unsure of what any of this means. I know how to solve ordinary differential equations on Maple, but dsolve() keeps returning nothing, and I am unsure of how to solve this by hand.

Could someone solve this equation for S(t) or refer me to a source of reference that I may find useful?

Thank you very much!