Introductory Differential Equations using Sage - William Stein

1.5. ISOCLINES AND DIRECTION FIELDS 35
Exercises:
1. Match the solution curves in Figure 1.12 to the ODEs below.
I. y ′ = y 2 − 1
II. y ′ = y − 1
t 2
III. y ′ = sin(t)sin(y)
IV. y ′ = sin(ty)
V. y ′ = 2t + y
VI. y ′ = sin(3t)
2. Using Sage , plot the direction field for y ′ = x 2 − y 2 .