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               Jan 22 Classes begin hw1 s1 1.1-1.5 12,19, 36 -- 41 Jan 27 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 Feb 3 Exact equations, integrating factors and linear equation hw3 s3 2.3-2.4 2.3: 2.4: Feb 10 Linear and Bernoulli equations hw4 s4 2.5-1.6   Feb 17 Existence and uniqueness theorem   1.6     Feb 23 Linear equations         Feb 28 Test 1, at 7:00pm     Kassar Fox         Mar 2 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 Mar 9 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 Mar 16 Homogeneous differential equations 4.4 4.5 1-21odd,27 11 -- 15,20,21,23--30 Mar 23 Non-homogeneous equations. Lagrange's method and method of undetermined coefficients 4.7 4.8 1--25 1-19odd, 28 -- 31 Mar 30 Power series expansions     Review   Project    Practice April 17, at 10am Apr 6 Laplace transformation 5.1. 5.2 5.3, 5.4 2,3,4,5,9,11 1,2,7,8,11,12,15--17,21-24 Apr 13 Inverse Laplace transforms hw6 s6 5.4 5.5 5.6 1 -- 10 1 -- 20 1 --7 Apr 20 Applications hw7 s7   Apr 27  Review   May 7 Dilum's notes       Review May 4 Final Exam formulas     at 2pm

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