# Find the general solution of the differential equation xy'+2y=0

## Question:

Find the general solution of the differential equation {eq}xy'+2y=0 {/eq}

## First Order Differential Equations:

A differential equation relates a function with its derivative.

An ordinary differential equation of first order and first degree can be written as:

{eq}y'=\displaystyle \frac{dy}{dx}=f\left( x , y\right) {/eq} or in the form: {eq}M \ dx + N \ dy =f\left( x , y\right) {/eq}

## Answer and Explanation:

{eq}\displaystyle xy'+2y=0 {/eq}

Rewrite the equation as:

{eq}\displaystyle \Rightarrow x\dfrac{ \ dy}{ \ dx}+2y=0 {/eq}

{eq}\displaystyle...

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