Question

The general solution of the differential equation x dy + y dx = 0 is ______.

Options

• xy = c

• x + y = c

• x² + y² = c²

• log y = log x + c

Answer 1

The general solution of the differential equation x dy + y dx = 0 is xy = c.

Explanation:

Given, Differential Eqn. is xdy + ydx = 0

xdy = −ydx

⇒ `intdy/y = -intdx/x`

⇒ log y = −log x + log c

⇒ log(yx) = log c

⇒ xy = c