DSolve and 1st order diff. equations in the differential form

Questions
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1

Hello,

I was wondering if there is a way to enter a differential equation (1st order) in differential form instead of derivative form in DSolve

For example:
Is it possible to enter a differential equation in the following form in DSolve
(x^2+3 y x^2)dx + (5 y)dy=0
instead of
dy/dx=-(x^2+3 y x^2) / 5 y ?

Thanks for your help.

2

Maybe like this:

eq = (x^2 + 3*y*x^2)*dx + (5 y)*dy == 0(*equation in  differential form *)

y == First@(y /. (DSolve[(eq /. y -> y[x] /. dx -> Dt[x] /. dy -> Dt[y[x]]), y[x], x] /. y[x] -> y))

(* y == 1/3 (-1 - ProductLog[-E^((3 x^3)/5 - 9 C[1])]) *)(*Solution*)

Workaround from here.

Regards.

3

Thank you very much.