Code

Course Title

T

L

C

ECTS

MAT 201

Introduction to Differential Equations

3

0

3

5

Content:Classification of differential equations and their solutions, Initial value problems and boundary value problems, formation of differential equations. Separable differential equations, exact differential equations, homogeneous differential equations, differential equations with linear coefficients, linear differential equations, Bernoulli differential equations, Riccati differential equations, Equations reducible to exact differential equations. Basic theory of higher order differential equations, Reduction of order, Homogeneous differential equations with constant coefficients, Nonhomogeneous differential equations with constant coefficients and their solution methods: method of variation of parameters, method of undetermined coefficients, Cauchy-Euler differential equations.

Recommended Sources:
Textbook:

  • Shepley L.Rose, Differential Equations, John Willey and Sons, USA, 1984.
  • W.E.Boyce and R.C.Di Prima, Elementary Differantial Equations and Boundary Value Problems, John Willey and Sons, 1997.
  • Additional Resources:

  • M.Aydın, G.Gündüz, B.Kuryel, G.Oturanç, Diferansiyel Denklemler ve Uygulamaları.
  • C.H.Edwards, D.E.Penney, Diferansiyel Denklemler ve Sınır Değer Problemleri.
  • Kreyszig, E., Advanced Engineering Mathematics, John Wiley, 9th edition, 2005 , John Wiley and Sons Press, 1991.