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Direction Field for the ODE y=fx,yx

Description

Plot the direction field and solutions of an ODE.

 

Direction Field for the ODE y=fx,yx

ODE

y=x+y2

ⅆⅆxyx=x+yx2

(1)

Set an x-range of the form a..b

0..1

0..1

(2)

Set a y-range of the form c..d

0..1

0..1

(3)

Direction Field

DEtoolsDEplot,yx,x=,y=, linecolor=black

Initial Points

0,0.2,0,0.4,0,0.6,0,0.8

0,0.2,0,0.4,0,0.6,0,0.8

(4)

Direction Field with Solutions

DEtoolsDEplot,yx,x=,y=,,linecolor=black

Commands Used

DEtools[DEplot]

See Also

DEtools, DEtools[phaseportrait]


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