Desolve gives wrong results

[COB160]

(12-23-2019 06:47 PM)CyberAngel Wrote:  

(12-23-2019 03:25 PM)COB160 Wrote:  Goodafternoon everybody,
I am dealing with desolve HP prime function, in particular if I type desolve(y'=-x/y,y) i get two wrong results, wich are: sqrt(-2*G_0-x^2 ) and -sqrt(-2*G_0-X^2). In fact the correct result should be, according to wolframalpha: sqrt(-x^2+c) and -sqrt(-x^2+c). Does the difference depend on the interpretation of G_0 or c constant? Otherwise the result is incorrect with respect of the sign.
Thank in advance for your help

The constant(s) could be anything
thus the answers are all correct.

Yes, but for what reason the calculator changes the conventional way to express the variable in such simple differential equations? Is there any way to get the conventional result?