The solution of the differential equation $\frac{dy}{dx}=-\frac{x}{y}$ is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $x^2+y^2=2C,$ where C is constant of integration.
$\frac{dy}{dx}=-\frac{x}{y}$
so $\int ydy=\int -xdx$
$\frac{y^2}{2}=-\frac{x^2}{2}+C$
so $x^2+y^2=2C$