2.1 Solution Curves without a Solution + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
2.2 Separable Equations + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
2.3 Linear Equations + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
2.4 Exact Equations + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
2.5 Solutions by Substitutions + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
2.6 A Numerical Method + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
3.1 Linear Models + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
3.2 Nonlinear Models + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
4.1 Preliminary Theory—Linear Equations + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
4.2 Reduction of Order + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture). Reduction of Order for y₂ Open the PDF supplement.
4.3 Homogeneous Linear Equations with Constant Coefficients + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
4.4 Undetermined Coefficients—Superposition Approach + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
4.6 Variation of Parameters + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture). Geometric Interpretation of Variation of Parameters Open the PDF supplement.
4.7 Cauchy–Euler Equations + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
4.9 Solving Systems of Linear Differential Equations by Elimination + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
5.1 Linear Models: Initial-Value Problems + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
5.2 Linear Models: Boundary-Value Problems + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
6.1 Review of Power Series + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
6.2 Solutions about Ordinary Points + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
6.3 Solutions about Singular Points + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture). Reduction of Order for y₂ Open the PDF supplement.
6.4 Special Functions + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
7.1 Definition of the Laplace Transform + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
7.2 Inverse Transforms and Transforms of Derivatives + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
7.3 Operational Properties I + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
7.4 Operational Properties II + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
7.5 The Dirac Delta Function + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
7.6 Systems of Linear Differential Equations + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
8.1 Preliminary Theory—Linear Systems + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
8.2 Homogeneous Linear Systems + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
8.3 Nonhomogeneous Linear Systems + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
8.4 Matrix Exponential + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
9.1 Euler Methods and Error Analysis + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).
9.2 Runge–Kutta Methods + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Download the fillable notes before class. Class Notes Download the class notes for this lesson (posted after lecture).