$10\mathrm{.}1$ Slope Fields

NOTES

CALCULUS

Write your questions here!

Differential Equations $=$ equation that involves a derivative

$\frac{dy}{dx}=2x$

Create a Slope Field

$\frac{dy}{dx}=xy$

What is the slope at $(1,-2)$

Create a Slope Field

$\frac{dy}{dx}=y-2x$

Let $f$ be the function that satisfies the given differential equation. Write an equation for the tangent line to the curve $y=f(x)$ through the point $(1,-2).$