Question

The general solution of the differential equation `(dy)/(dx) + x/y` = 0 is

विकल्प

• x² + y² = cxy

• x² + y² = c

• x² – y² = c

• x + y = c

Answer 1

x² + y² = c

Explanation:

`(dy)/(dx) + x/y` = 0

⇒ `(dy)/(dx) = (-x)/y`

⇒ `int y  dy = - int x  dx`

⇒ `y^2/2 = (-x^2)/2 + c_1`

⇒ `x^2 + y^2 = 2c_1`

⇒ x² + y² = c.