Slope fields - First Order Differential Equations

Slope fields

Lessons

Notes:
Slope fields, also called directional fields or vector fields, are graphical representations of first-order differential equations.

Slope Fields consist of a bunch of lines indicating the slope of y with respect to x, or dydx\frac{dy}{dx}
  • 1.
    Understanding Slope Fields
    Find the directional field for the following equations:
  • 4.
    Given the differential equation and its resulting slope field:
    dydx=y2(y3)\frac{dy}{dx}=\frac{y}{2}(y-3)
    Slope fields and differential equations

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

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