Existence-uniqueness theorem of first order initial value problems, First order equations, Higher order linear ordinary differential equations. Constant coefficient equations. Reduction of order method, Method of undetermined coefficients, Method of variation of parameters. Riccati equations, Cauchy-Euler equations. Power series solutions. The Laplace transforms. Convolution integral. Solution of initial value problems using Laplace transform. Solution of systems of linear differential equations using Laplace transform.

Textbook: Nagle, R. Kent, Saff, Edward B., Snider, Arthur David; Fundamentals of Differential Equations, (8th Edition), Pearson (2011), ISBN 13: 9780321747730

Exams:

• MIDTERM 1 (%40): July 24, 2026 at 10.20
• FINAL exam (%50): TBA
• Attendence: (%10) Students have to attend at least %60 of the classes otherwise they will get NA grades (no excuses are accepted).
• Attendece points will be given according to the following attendece rates :         

                           60-64 %  : 2 points  

                            65-69 % : 4 points

                            70-74 % : 6 points

                             75-79% : 8 points

                              80-100%: 10 points