The solution of the differential equation (\frac{dy}{dx}=-\f... | Mathematics | SolveeIt | Solveeit

Today, August 24

Question

The solution of the differential equation $\frac{dy}{dx}=-\frac{x}{y}$ is:

A

$x^2+y^2=2C$ , where C is constant of integration.

B

$x-y^2=2C$ , where C is constant of integration.

C

$x^2+y=2C$ , where C is constant of integration.

D

$x^2-y^2=2C$ , where C is constant of integration.

Answer

$x^2+y^2=2C$ , where C is constant of integration.

Explanation

Solution

The correct option is(A): $x^2+y^2=2C$ , where C is constant of integration.