Slope Fields Investigation
SLOPE FIELD APPLET
A HUGE THANK YOU to Ted Coe for creating this nice, clean applet! [br]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?
It decreases the amount of slope fields
Use the derivative dy/dx=x+y
Why would you want more arrows indicating the slope field?
Easier to solve questions about the derivative
Easier to draw the original equation
Easier to draw the derivative equation
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?
-2
-1
1
0
2
From the previous problem
Mathematically show why the differential equation looks like that, at that point?
dy/dx=x+y=-2+1=-1, the slope of the derivative is -1, so it follows the equation y=-x
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