Let (x^3+3y^2=4) for all (x,y\isin\R,) (y'=\frac{dy}{dx}) an... | Mathematics for Economy | SolveeIt | Solveeit

Today, August 24

Question

Let $x^3+3y^2=4$ for all $x,y\isin\R,$ $y'=\frac{dy}{dx}$ and $y''=\frac{d^2y}{dx^2}$ . Then

A

x2 + yy" + (y')2 = 0

B

2x + y" + 2(y')2 = 0

C

x + (y')2 = 0

D

x + yy" + (y')2 = 0

Answer

x + yy" + (y')2 = 0

Explanation

Solution

The correct option is (D): x + yy" + (y')2 = 0