# What is a solution to the differential equation 3y^2dy/dx=1?

Sep 30, 2016

$y = \sqrt[3]{x + C}$

#### Explanation:

Grouping variables

$3 {y}^{2} \mathrm{dy} = \mathrm{dx}$ and integrating

${y}^{3} = x + C$ so

$y = \sqrt[3]{x + C}$