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". QyQtSSV3aXRoRzYiNiNJKERFdG9vbHNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiUhIiI= Next, define the differential equations. Here's three interesting systems: Qyo+SSVERTIzRzYiNyQvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInhHRiU2I0kidEdGJUYvLUkieUdGJUYuLy1GKTYkRjBGLywkRiwhIiIiIiI+SSVERTI0R0YlNyQvRigqJkYwRjcsKEY3RjcqJEYsIiIjRjcqJEYwRj9GN0Y3L0YzKiZGLEY3Rj1GN0Y3PkklREUyNUdGJTckL0YoLCRGPCIiJS9GMywkRkJGNkY3PkklREUyNkdGJTckL0YoKiZGMCIiJC1JJGV4cEdGJTYjLCZGLEY3RjBGN0Y3L0YzLCQqJkYsRlBGUUY3RjZGNw== print(); # input placeholder Time for a "phase plane" plot, replete with arrows, which also makes it a "direction field" for Exercise 6.1.23: 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 %; Exercise 6.1.24: QyQtSSdERXBsb3RHNiI2J0klREUyNEdGJTckLUkieEdGJTYjSSJ0R0YlLUkieUdGJUYrL0YsOyIiISIiJjcnNyQvLUYqNiNGMUYxLy1GLkY3IiIiNyRGNS9GOSIiIzckL0Y2RjovRjlGMTckL0Y2Rj1GQDckRj9GOC9JJ2Fycm93c0dGJUknbWVkaXVtR0YlRjo= %; Exercise 6.1.25: QyQtSSdERXBsb3RHNiI2KUklREUyNUdGJTckLUkieEdGJTYjSSJ0R0YlLUkieUdGJUYrL0YsOyIiISIiIi9GKjshIiYiIiYvRi5GNDcnNyQvLUYqNiNGMUYxLy1GLkY8RjI3JEY6L0Y+IiIjNyQvRjtGMi9GPkYxNyQvRjtGQUZENyRGQ0Y9L0knYXJyb3dzR0YlSSdtZWRpdW1HRiVGMg== %; Exercise 6.1.26: QyQtSSdERXBsb3RHNiI2J0klREUyNkdGJTckLUkieEdGJTYjSSJ0R0YlLUkieUdGJUYrL0YsOyIiISIiJzcqNyQvLUYqNiNGMUYxLy1GLkY3JCIiJiEiIjckL0Y2RjovRjlGMTckRjUvRjkkISImRjw3JC9GNkZCRj83JC9GNiIiIkY/NyRGNS9GOUZINyRGNS9GOUY8NyQvRjZGPEY/L0knYXJyb3dzR0YlSSdtZWRpdW1HRiVGSA== %; JSFH JSFH