The equation of the curve whose slope is given by (\frac{dy}... | Mathematics | SolveeIt | Solveeit

Today, August 24

Question

The equation of the curve whose slope is given by $\frac{dy}{dx}=\frac{4x}{y}$ , x>0,y>0 and which passes through the point (2, 2) is:

A

$y^2 = 4x^2-12$

B

$x^2 = 4y^2-12$

C

$y^2 = 4x^2+12$

D

$x^2 = 4y^2+ 12$

Answer

$y^2 = 4x^2-12$

Explanation

Solution

The correct option is(A): $y^2 = 4x^2-12$