Mathematics

Problem

The differential equation

\dfrac{dy}{dx}=\dfrac{x^{2}}{y+1}

has the general solution

y(x)=\sqrt{\dfrac{x^{3}}{3}+C}-1

, where

C

is a constant. If

y(0)=2

, which value of

C

satisfies the initial condition? a)

C=4

C=9

C=3

C=5