<aside> ⏫ A direction (slope) field is used to graphically represent solutions to a first-order differential equation

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• At each point in a direction field, a line segment appears whose slope is equal to the slope of a solution to the differential equation passing through that point

Types of Solutions

1. $y = k$ is an asymptotically stable solution to the differential equation if there exists $\varepsilon >0$ such that for any value, the solution to the initial value problem is $y’ = f(x,y), y(x_0) = c$