# Slope fields

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##### Intros

##### Examples

###### Lessons

**Understanding Slope Fields**

Find the directional field for the following equations:**Determining the Equation from a Slope Field**

Which equation best corresponds to the following slope field?

i. $\frac{dy}{dx}=y-2$

ii. $\frac{dy}{dx}=xy-2$

iii. $\frac{dy}{dx}=x+1$

iv. $\frac{dy}{dx}=-x+1$

- Which equation best corresponds to the following slope field?

i. $\frac{dy}{dx}=xy-2$

ii. $\frac{dy}{dx}=-\frac{y}{x}$

iii. $\frac{dy}{dx}=2x+y$

iv. $\frac{dy}{dx}=xy-3$

- Given the differential equation and its resulting slope field:

$\frac{dy}{dx}=\frac{y}{2}(y-3)$

Draw a solution to the following differential equation using the following initial value conditions: