Differential Equations
Model unknown functions
Based on observedchanges
Functions thatcontain one or more of their own derivatives
F dig Yy dfeaky 8 show that
ye x2 X is a solution to xy 2ytX
y 20 1
Sustitute Xy Ly X X 20 1 2 xx TX
Solve 242 X 2W 2x X
242 X 242 X
Slope Field
Shows the slope of a differential equation at certainverticaland horizontal
intervals on the x plane
y
Can beusedto determine theapproximatetangentslope at apoint on a carve
Model unknown functions
Based on observedchanges
Functions thatcontain one or more of their own derivatives
F dig Yy dfeaky 8 show that
ye x2 X is a solution to xy 2ytX
y 20 1
Sustitute Xy Ly X X 20 1 2 xx TX
Solve 242 X 2W 2x X
242 X 242 X
Slope Field
Shows the slope of a differential equation at certainverticaland horizontal
intervals on the x plane
y
Can beusedto determine theapproximatetangentslope at apoint on a carve