The referred problems are from the textbook "Applied Differential Equations. The Primary Course" by Vladimir A. Dobrushkin (CRC Press, 2015, ISBN 978-1-4398-5104-3) https://www.crcpress.com/product/isbn/9781439851050 Week Notes Material to be covered hw sol Sections Supplementary Problems               Sep 6 Classes begin hw1 s1 1.1-1.5 12,19, 36 -- 41 Sep 13 Separable equations and equations with homogeneous coefficions hw2 s2 2.1-2.2 2.1: 1 --4, 6,22 -- 28 2.2: 3,4,5,6,7,8 Sep 20 Exact equations, integrating factors and linear equation hw3 s3 2.3-2.4 2.3: 2.4: Sep 27 Linear and Bernoulli equations hw4 s4 2.5-1.6   Oct 5 Existence and uniqueness theorem   1.6     Sep 30 Linear equations         Oct 16 Test 1, at 7:00pm     B&H, 158 (A-K), 85 Waterman 130 (L-R)     Project     Due Nov 17 and 20 Oct 14 Numerical solutions Runge-Kutta method     3.1 3.2 3.5 11 -- 15; 8.2: 7 -- 12, 22 -- 26 1 -- 4, 7 -- 10 1 -- 6, 7, 8 Oct 21 Second order equations Fundamental set of solutions. Wronskian hw5 s5 4.1 4.2 4.3 1--17odd,25,26 1-19odd, 23,24,28--31 Oct 28 Homogeneous differential equations hw6 s6 4.4 4.5 1-21odd,27 11 -- 15,20,21,23--30 Nov 4 Non-homogeneous equations. Lagrange's method and method of undetermined coefficients hw7 s7 4.7 4.8 1--25 1-19odd, 28 -- 31 Nov 11 Mechanical and Electrical Vibrations     3.8,3.9 Review 3.8: 1--15,25 3.9: 5--15   Test 2: Mac Millan, 117 Nov 12     November 12, at 2pm Nov 20 Laplace transformation hw8 s8 5.1. 5.2 5.3, 5.4 2,3,4,5,9,11 1,2,7,8,11,12,15--17,21-24 Nov. 20 Project       Due November 17 & 20 Nov 28 Inverse Laplace transforms     5.4 5.5 5.6 1 -- 10 1 -- 20 1 --7 Dec 2 No class Nov 22-Nov 25 (Thanksgiving)     6.1 6.2 1,2,5,6,7,8,14-18,21,24,25 1,7,9,26,27,42-60,74,75,77,80 Dec 9 Dilum's notes       Review Dec 14 Final Exam, at 9am formulas     B&H, 166 and 168, at 9am

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