homework5.mws
Getting started
Section 2.2
# 16
(a) -- Equilibrium Solutions
(b) -- Direction Field
(c) -- Phase Portrait
Section 2.3
# 12 (b) and (d)
Defining the model
Direction Field
Phase Portrait
Solution Curves
# 14 (a) and (c)
Defining the model
Direction Field
Phase Portrait & Solution Curve for y[1] = exp(-2*t)
Phase Portrait & Solution Curve for y[2] = exp(-t);
# 19 (d)
Defining the model
Phase Portrait
Section 2.4
# 6
Defining the model
(a) Numerical Solution (dsolve,numeric)
Euler2 (a custom-defined procedure for two-dimensional systems)
(b) Plot of Numerical Solution Curve and Direction Field
(c) Phase Portrait