The equation is linear, as you can write
An integrating factor would be
Multiplying both sides of the ODE by this yields
where the LHS is a derivative:
![\dfrac{\mathrm d}{\mathrm dx}\left[x^{1/3}y\right]=4x^{1/3}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5Bx%5E%7B1%2F3%7Dy%5Cright%5D%3D4x%5E%7B1%2F3%7D)
Integrating both sides, we get
An integrating factor would be
Multiplying both sides of the ODE by this yields
where the LHS is a derivative:
Integrating both sides, we get