In this paper we use Faa di Bruno's formula to associate Bell polynomial values to differential equations of the form $y^{\prime}=f(y)$. That is, we use partial Bell polynomials to represent the solution of such an equation and use the solution to compute special values of partial Bell polynomials.

Comment: 13 pages

• 11B73 - Bell and Stirling numbers
• 34A30 - Linear ordinary differential equations and systems