Chapter 15 - Vector Analysis - 15.1 Exercises - Page 1050: 58

$e^{x}(x+1)+e^{y}(y+1)$

div $\textbf{F}=\nabla\cdot \textbf{F}=\nabla\cdot\langle xe^{x},ye^{y},0\rangle$ $=\frac{\partial}{\partial x}(xe^{x})+\frac{\partial}{\partial y}(ye^{y})+\frac{\partial}{\partial z}(0)$ $=(xe^{x}+e^{x})+(ye^{y}+e^{y})+0$ $=e^{x}(x+1)+e^{y}(y+1)$