Supplemental material

How to draw directional field

Integrating factor method

Modeling with first order equations

Stability of an equilibrium solution of autonomous equations

Solutions and Wronskian

Reduction of order method

Linear homogeneous differential equations with constant coefficients

Nonhomogeneous differential equations with special right-hand side

Mechanical Vibrations

Partial Fraction Decomposition

Solve differential equation using Laplace transform

Step and Impulse/Delta functions

How to rewrite a linear differential equation as a system of first order differential equations

Eigenvalues/eigenvectors

Classification of critical points

Initial value problems (linear homogeneous systems)

Eigenvalues and Eigenfunctions

Even and Odd Functions

Draw Odd and Even extensions