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Slope Fields Investigation

SLOPE FIELD APPLET

A HUGE THANK YOU to Ted Coe for creating this nice, clean applet!   Excellent resource for students taking introductory differential equations!  

Use the derivative dy/dx=x+y

What does decreasing the n value do to your graph?

Use the derivative dy/dx=x+y

Why would you want more arrows indicating the slope field?

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Use the derivative dy/dx=x+y

If the starting x value is -2, at what y value does the derivative follow a linear line?

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From the previous problem

Mathematically show why the differential equation looks like that, at that point?