Section 1.1   Intro to Differential Equations Section 1.2   Initial Value Problems Section 2.2   Separation of Variables Section 2.3   Linear DE Section 2.4   Exact DE Section 2.5   Solutions by Substitution Section 3.1   Linear Models Section 4.1   Intro to Higher-Order Linear DE Section 4.2   Finding a Second Solution Section 4.3   Homogeneous DE with Constant Coefficients Section 4.4   Non-Homogeneous DE with Constant Coefficients Section 4.6   Variation of Parameters Section 4.7   Cauchy-Euler DE Section 5.1   Spring-Mass Systems Section 6.2   Series Solutions Section 7.1   Intro to the Laplace Transform Section 7.2   Inverse Transforms Section 7.3   Translations Section 7.4   Convolutions and Periodic Functions Section 7.5   The Dirac Delta Section 8.1   Intro to Linear Systems of DE Section 8.2   Homogeneous Linear Systems Section 8.3   Non-Homogeneous Linear Systems