The referred problems are from the textbook "Elementary Differential Equations and Boundary Value Problems" by W.E. Boyce & R.C. DiPrima (8-th edition) Week Material to be covered hw sol Sections Supplementary Problems               Sep 3 Classes begin Sep 5     1.1-1.4 all odd problems from sections 1.2,1.3 Sep 10 Separable equations and equations with homogeneous coefficions hw1 s1 2.2 2.3 9 -- 16, 17 -- 27 15, 16, 20 -- 26 Sep 17 Exact equations, integrating factors and linear equation hw2 s2 2.6 2.1 1 -- 12, 15, 19 -- 28 Sep 24 Bernoulli equations Reducable to linear equations. Existence and uniqueness theorem hw3 s3 2.4 2.8 3.1 1,2,3,7,9,21,22,23,35,37,29,33 28 -- 43 Oct 1 Test 1, Oct 3 Existance and Uniqueness     2.8 2,3,5,6,8-13,15-17,22,23 Oct 8 Numerical solutions Runge-Kutta method Multistep methods Project   2.7, 8.2 8.3 8.4 11 -- 15; 8.2: 7 -- 12, 22 -- 26 1 -- 4, 7 -- 10 1 -- 6, 7, 8 Oct 15 Second order equations Fundamental set of solutions. Wronskian hw4 s4 3.1 3.2 3.3 1--17odd,25,26 1-19odd, 23,24,28--31 Oct 22 Homogeneous differential equations hw5 s5 3.4 3.5 1-21odd,27 11 -- 15,20,21,23--30 Oct 29 Non-homogeneous equations. Lagrange's method and method of undetermined coefficients     3.6 3.7 1--25 1-19odd, 28 -- 31 Nov 5 Mechanical and Electrical Vibrations     3.8,3.9 Review 3.8: 1--15,25 3.9: 5--15 Nov 12 Test 2: Nov 13 Laplace transformation     6.1 1,2,7,8,11,12,15--17,21-24 Nov 19 Inverse Laplace transforms hw6 s6 6.1 6.2 6.3 6.4 2,3,4,5,9,11 1,5,7,8,15,23c,24,26,30,31,32,35 1,4,5,7,11,12,13,14,21,26,28 4,5,9*,12,13,14,15,16a Nov 26 No class Nov 27-Nov 30 (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 3   hw7 s7 6.3 6.4 6.5 1,3,5,7,9,11,14,15,21 1,3,4,5,7,9,11,12,13,15,16,17,20 1,2,3,4,5 Dec 10 Last day of class Dec 13 Test 3

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