Chapter 8.3, Problem 6ES

In parts (a)-(f), match the differential equation with the slope field, and explain your reasoning.

$\begin{array}{l}\left(\text{a}\right)y^{\prime }=1/x\\ \left(\text{b}\right)y^{\prime }=1/y\\ \left(\text{c}\right)y^{\prime }=e^{-x^2}\\ \left(\text{d}\right)y^{\prime }=y^2-1\\ \left(\text{e}\right)y^{\prime }=\frac{x+y}{x-y}\\ \left(\text{f}\right)y^{\prime }=\left(\sin x\right)\left(\sin y\right)\end{array}$