## Thomas' Calculus 13th Edition

$y=9x^{1/3}+4$
The anti-derivative for $\dfrac{dy}{dx}=3x^{-2/3}$ is $y=9x^{1/3}+C$ Apply the initial conditions $y(-1)=-5$. This implies $-9+C=-5$ or, $C=4$ Hence, $y=9x^{1/3}+4$