## Differential Equations and Linear Algebra (4th Edition)

$y'=x^{-2/3}y=3x^{1/2}+C$, valid for all real values
Integrate the function to turn $y'$ into $y$. Use power rule and don't forget an integration constant. $$y'=x^{-2/3}$$ $$y=3x^{1/2}+C$$ This solution is valid for all real values.