JSFHDifferential equations with Maple Note: You must always execute the following command first to get the Maple DE toolbox. Replace the colon by a semicolon and then press enter if you want to see all the commands that become available. Better yet, get Maple help on "DEtools". QyQtSSV3aXRoRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiNJKERFdG9vbHNHRiUhIiI= Next, define the differential equations. Here's three interesting systems: Qyg+SSRERTFHNiI3JC8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkieEdGJTYjSSJ0R0YlRi8sJkYsIiIjLUkieUdGJUYuIiIiLy1GKTYkRjJGLywmRixGNEYyISIjRjQ+SSRERTJHRiU3JC9GKCwmRiwjISIiRjFGMkY0L0Y2LCZGLEZARjJGP0Y0PkkkREUzR0YlNyQvRigsJEYyRjkvRjYsJEYsI0Y0RjFGNA== print(); # input placeholder JSFH Time for a "phase plane" plot, replete with arrows, which also makes it a "direction field": QyQtSSdERXBsb3RHNiI2KUkkREUxR0YlNyQtSSJ4R0YlNiNJInRHRiUtSSJ5R0YlRisvRiw7IiIhIiImL0YqOyEiJkYyL0YuRjQ3KDckLy1GKjYjRjEiIiIvLUYuRjskIiNEISIjNyRGOS9GPiIiJTckRjkvRj4hIiU3JC9GOiEiIkY9NyRGSUZDNyRGSUZGL0knYXJyb3dzR0YlSSdtZWRpdW1HRiVGPA== %; Next, we do a plot of the curves x(t): QyQtSSdERXBsb3RHNiI2KUkkREUxR0YlNyQtSSJ4R0YlNiNJInRHRiUtSSJ5R0YlRisvRiw7IiIhIiImL0YqOyEjNSIjNTcoNyQvLUYqNiNGMSIiIi8tRi5GOyQiI0QhIiM3JEY5L0Y+IiIlNyRGOS9GPiEiJTckL0Y6ISIiRj03JEZJRkM3JEZJRkYvSSZzY2VuZUdGJTckRixGKS9JJ2Fycm93c0dGJUklbm9uZUdGJUY8 %; JSFH Next, we do a plot of the curves y(t): JSFH QyQtSSdERXBsb3RHNiI2KUkkREUxR0YlNyQtSSJ4R0YlNiNJInRHRiUtSSJ5R0YlRisvRiw7IiIhIiImL0YuOyEjNSIjNTcoNyQvLUYqNiNGMSIiIi8tRi5GOyQiI0QhIiM3JEY5L0Y+IiIlNyRGOS9GPiEiJTckL0Y6ISIiRj03JEZJRkM3JEZJRkYvSSZzY2VuZUdGJTckRixGLS9JJ2Fycm93c0dGJUklbm9uZUdGJUY8 %; JSFH