Full worked solutions for every Math 308 Week in Review, Spring 2026. Each page opens with collapsible Solution panels, an interactive table of contents, search, and dark mode. Instructor: Shelvean Kapita · Texas A&M University Math Learning Center
Week1
Sections 1.1–1.3, 2.2
Classification of ODEs; solutions & initial value problems; direction fields; separable equations.
Week2
Sections 2.1, 2.3
Linear equations & integrating factors; first-order modeling (mixing, decay, interest).
Week3
Sections 2.4–2.6
Existence & uniqueness; autonomous equations & phase lines; exact equations.
Week4
Sections 3.1–3.3
Constant-coefficient homogeneous equations; Wronskian & fundamental sets; complex roots.
Week5
Sections 3.5, 3.6
Undetermined coefficients; variation of parameters; comprehensive Exam 1 review.
Week6
Sections 3.7, 3.8, 6.1, 6.2
Mechanical & electrical vibrations; forced vibrations; Laplace transform definition & IVPs.
Week7
Sections 6.3–6.5
Step functions; discontinuous forcing functions; impulse functions.
Week8
Sections 6.5, 6.6, 5.1–5.2
Impulse functions; the convolution integral; power series methods.
Week9
Sections 3.7–3.8, 6.1–6.6, 5.1–5.2
Vibrations, Laplace transforms, and power series — comprehensive Exam 2 review.
Week10
Sections 7.1–7.3
Matrices; systems of first-order ODEs; linear independence, eigenvalues & eigenvectors.
Week11
Sections 7.5–7.6
Homogeneous linear systems with constant coefficients; complex eigenvalues; phase portraits.
Week12
Section 7.9
Nonhomogeneous linear systems — undetermined coefficients & variation of parameters.
Week13
Chapters 2, 3, 5, 6, 7
Comprehensive final exam review spanning first-order equations through linear systems.