1	Differential quations and fundamental properties, boundary- value problems.
2	The theorems of existence and unique,seperable equations and equations reducible to this form, homogeneous differential equations.
3	Linear and exact differential equations.
4	The concept of integrating factors and finding multiplies of differential quations.
5	Linear and Bernoulli differential equations.
6	Riccati differential equation,solutions with subsititution variable
7	Systems,orthogonal and oblique trajectories.
8	Midterm Exam. First and high order differential equations
9	Clairaut and Lagrange differential equations, solutions about singular points,envelops.
10	n.order linear linear differential equations with constant coefficients.
11	The method of undetermined coefficients,the short methods.
12	Variation of Parameters.
13	Euler differential equation,diferential equation with variable coefficients.
14	Laplace transformation; solutions using Laplace transformation

1.William E. Boyce, Richard C.DiPrima, Elementary Differential Equations and Boundary Value Problems : International Student Version, Boyce & Dprima, John Wiley & Sons, 2010.
2. Richard Bronson, Erin J. Bredensteiner , Differential Equations,Schaum’s Outlines, McGraw-Hill, 2003.
3. Shepley L. Ross, Differential Equations, 3. Edition
4 Edward B. Saff and Arthur David Snider, Fundementals of Differential Equations and Boundary Value Problems, R. Kent Nagle, Addison,New York, 2004.