#### Answer

$y=9x^{1/3}+4$

#### Work Step by Step

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, $y=9x^{1/3}+4$

Published by
Pearson

ISBN 10:
0-32187-896-5

ISBN 13:
978-0-32187-896-0

$y=9x^{1/3}+4$

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