Diff-Eqs and Slope Fields

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Diff-Eqs and Slope Fields Taran, Matthew, Tony

Assignments In Class: All MC FRQ #12,15 Homework: FRQs #11,13,14

47 - Steps for Solving a Diff-Eq with Separation of Variables Separate the variables by putting all y variables on one side of the equation and all x variables on the other side. Integrate both sides (don’t forget to add C). Solve for C using information from the problem (a point may be given to solve for C) Solve for y

Separate variables Integrate Solve for y

48 - Slope Fields Slope Field - The slope field is defined as the collection of small line segments passing through various points having a slope that will satisfy the given differential equation at that point. Steps: Find differential equation for slope field (dy/dx) Plug in x & y values into dy/dx Sketch the slopes at the given (x, y) points

Slope Fields Visual

FRQ Practice QR Code: