The differential equation satisfied by circles with radius 3... | Mathematics for Economy | SolveeIt | Solveeit

Today, August 18

Question

The differential equation satisfied by circles with radius 3 and center lying on the Y-axis is

A

$(\frac{dy}{dx} )^2 = ( \frac{x^2}{ 9 + x^2})$

B

$(\frac{dy}{dx} )^2= ( \frac{ 9 + y^2}{y^2})$

C

$(\frac{dy}{dx} )^2= ( \frac{x^2}{ 9 - x^2})$

D

$(\frac{dy}{dx}^2 )= ( \frac{ 9 - y^2}{y^2})$

Answer

$(\frac{dy}{dx} )^2= ( \frac{x^2}{ 9 - x^2})$

Explanation

Solution

The correct answer is (C): $(\frac{dy}{dx} )^2= ( \frac{x^2}{ 9 - x^2})$