- #1
khary23
- 93
- 6
Can someone please explain to me how one plots direction fields of differential equations in mathamatica 7? Two examples are
y'=3-2y
y'= -1-2y
Thank you
y'=3-2y
y'= -1-2y
Thank you
Last edited:
To plot a direction field using Mathematica7, you can use the StreamPlot
function. This function takes in two equations, dx/dt
and dy/dt
, and plots the corresponding direction field. You can also adjust the plot size, style, and other settings using the optional arguments.
Yes, you can use the Show
function to plot multiple direction fields on the same graph. First, use the StreamPlot
function to plot the first direction field, then use the Show
function to add the second direction field to the same graph. You can continue this process to add as many direction fields as you need.
You can use the Arrowheads
option in the StreamPlot
function to adjust the appearance of the direction field arrows. This option takes in a number or a list of numbers to specify the size of the arrowheads. You can also use the ArrowStyle
option to change the color and style of the arrows.
Yes, you can use the ColorFunction
option in the StreamPlot
function to add color to the direction field. This option takes in a function that maps values to colors. You can use built-in color functions or define your own function.
Yes, you can use the Export
function to save the direction field plot as an image in various formats, such as PNG, JPEG, or SVG. You can specify the file name, format, and other options in the function. This allows you to use the direction field plot in other documents or presentations outside of Mathematica7.