I have some problems with the domain in first-order differential equations. Firstly, while solving the differential equation, I have to assume that $x$ is greater than $0$ (due to a logarithm). My final solution is $y =$ something$/x + C$. Well $x + C \neq 0$, so for $x = -C$, I have an asymptote. But I am used to writing it as domain ranges in principals. So in this case, I believe it will be range $x$ from $(0,-C)$, $(-C,+\infty)$, and $(C < 0)$. Is this correct?
2026-03-27 22:31:04.1774650664
connection between domain and constant "C" in differential equations
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