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) |
$xy = c$ $x = cy^2$ $y = cx$ $y = cx^2$ |
$y = cx$ |
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: $\int \frac{dx}{x} = \int \frac{dy}{y}$ $\log y = \log x + \log c$ $y = cx$ |