The general solution of the differential equation $ydx - xdy = 0$; (Given $x, y > 0$), is of the form:
(Where '$c$' is an arbitrary positive constant of integration)
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → $y = cx$ ##
The given differential equation is:
$ydx - xdy = 0$
Rewrite the differential equation:
$\frac{dx}{x} = \frac{dy}{y}$
Integrating both sides:
$\int \frac{dx}{x} = \int \frac{dy}{y}$
$\log y = \log x + \log c$
$y = cx$