Mathematics 212
Differential Equations
Chapter 3: Nonlinear First-Order Equations I
Class Notes
3.1 Direction Fields and Numerical Approximation (
pdf
)
3.2 Separable Equations (
pdf
)
3.3 Bernoulli and Riccati Equations (
pdf
)
Biography and
portraits
of
Jacob (Jacques) Bernoulli
(1654-1705)
Biography and
sketch
of
Jacopo Francesco Riccati
(1676-1754)
3.4 Reduction of Order (
pdf
)
3.5 Nonlinear First-Order Equations in Applications (
pdf
)
Homework Exercises from DE
3.1 -- 1, 3, 7, 10, 11, 12
3.2 -- 5, 7, 9, 11, 15, 19
3.3 -- 3, 7, 11, 15, 17, 21, 24, 27
3.4 -- 5, 7, 11, 13, 16
3.5.1 -- 4, 6, 7, 9
3.5.2 -- 1, 3, 7, 11, 15
3.5.3 -- 1, 3, 11
Homework Exercises from AMC for DE
3.1 -- 1, 2, 3ace (Direction Fields, Isoclines, and Solution Curves)
3.2 -- 1ace (DEPlot)
3.3 -- 1, 2, 3 (Logistic Population Model)
3.3 -- 4, 5, 6 (Curve-Fitting Issues)
cparrish@sewanee.edu
