Sec. Topics Homework (CAS) Solution 1.1 1.2 Definition and Terminology Initial-Value Problems 4, 7, 8, 9, 10, 13, 16, 20, 27, 28, 30 2, 12, 20, 22, 27 (55) -- 2.2 2.3 Separable Variables Linear Equations 8, 14, 20, 22, 23, 27, 45 5, 13, 16, 18, 30, 37 (ex 4) (5,9) 2.4 2.5 Exact Equations Solutions by Substitutions 2, 5, 8, 15, 25, 27, 29, 31, 42(a), 43, 44 4, 6, 10, 13, 18, 21, 26, 30 ---- 2.1 1.3     3.1 Solution Curves (light coverage) Mathematical Models (reading): Growth and Decay, Newton’s Law of Cooling and Mixtures Linear Models 1,21,24 See Sec.  # 3.1     3, 6, 13, 14, 15, 19, 20, 21, 23 (5,7)       -- 2.1 4.1 4.1.1 4.1.2 Linear Equations: Basic Theory Initial-Value and Boundary-Value Homogeneous Equations 3, 10, 12, 13 15, 21, 23, 28 --           -- 4.1.3 4.2 Nonhomogeneous Equations Reduction of Order 33, 36, 37(b,e) 1, 3, 12, 14, 19 -- -- 4.3   4.5 Homogeneous Linear Equations with Constant Coefficients Undetermined Coefficients – Annihilator Approach 4, 9, 12, 15, 20, 34, 40, 49, 50, 51   8, 13, 22, 24, 34, 41, 48, 64, 67, 73 (57)   -- 4.3 4.6 4.7 Variation of Parameters Cauchy-Euler Equation (Both Methods) 6, 11, 13, 24, 25, 28 3, 5, 10, 11, 14, 16, 19, 31, 34, 37, 39 -- (44) 4.6 6.1 6.1.1 6.1.2 Solutions About Ordinary Points Review of Power Series Power Series Solutions 1, 10, 11 15, 17, 20, 22, 32 -- -- 6.1 6.2 Solutions about Singular PointsÓ 3, 10, 13, 14, 19, 20, 27 (ex 5) 6.2 App II Matrices and Linear Systems  (review) The Eigenvalue Problem 14, 15, 19, 23, 27, 29, 31, 33, 39, 43 47, 49, 52, 53, 55 -- -- 8.1 8.2 Preliminary Theory Homogeneous Linear Systems 4, 5, 8, 14, 15, 17, 23, 25 -- 8.1 8.2.1 8.2.2 8.2.3 Distinct Real Eigenvalues Repeated Eigenvalues Complex Eigenvalues 3, 7, 10, 13 19, 21, 23, 25, 27 33, 34, 36, 39, 41, 45 (ex 2) -- -- 8.3 8.3.2 8.4 Nonhomogeneous Linear Systems Variation of Parameters Matrix Exponential 11, 12, 23, 32 1, 5, 9, 2, 6, 4, 8 (35 (a,b)) (27(a))