Solution of the differential equation $\frac{dx}{x}+\frac{dy}{y}=0$, is
Answer & explanation
Correct answer: option 3
The correct answer is option (3) : $xy = C$
We have,
$\frac{1}{x}dx+\frac{1}{y}dy=0$
On integrating, we get
$log\, x + log\, y = log\, C$
$⇒xy = C$